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Finding the Fourth Proportional to 13,684.86, 20,497.56 and 8,403.84

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Solution

The fourth proportional to 13,684.86, 20,497.56 and 8,403.84 is: 12,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.86 : 20,497.56 = 8,403.84 : x
  2. Step 2: Convert to fraction form
    13,684.86/20,497.56 = 8,403.84/x
  3. Step 3: Cross multiply
    13,684.86x = 20,497.56 × 8,403.84
  4. Step 4: Simplify right side
    13,684.86x = 172,258,214.63
  5. Step 5: Solve for x
    x = 172,258,214.63/13,684.86
  6. Step 6: Final answer
    x = 12,587.50

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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.