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Finding the Fourth Proportional to 13,906,742.40, 20,860,113.60 and 13,402,857.60

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Solution

The fourth proportional to 13,906,742.40, 20,860,113.60 and 13,402,857.60 is: 20,104,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906,742.40 : 20,860,113.60 = 13,402,857.60 : x
  2. Step 2: Convert to fraction form
    13,906,742.40/20,860,113.60 = 13,402,857.60/x
  3. Step 3: Cross multiply
    13,906,742.40x = 20,860,113.60 × 13,402,857.60
  4. Step 4: Simplify right side
    13,906,742.40x = 279,585,132,100,623.38
  5. Step 5: Solve for x
    x = 279,585,132,100,623.38/13,906,742.40
  6. Step 6: Final answer
    x = 20,104,286.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.