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Finding the Fourth Proportional to 13,627.60, 20,442.80 and 4,266.04

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Solution

The fourth proportional to 13,627.60, 20,442.80 and 4,266.04 is: 6,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.60 : 20,442.80 = 4,266.04 : x
  2. Step 2: Convert to fraction form
    13,627.60/20,442.80 = 4,266.04/x
  3. Step 3: Cross multiply
    13,627.60x = 20,442.80 × 4,266.04
  4. Step 4: Simplify right side
    13,627.60x = 87,209,802.51
  5. Step 5: Solve for x
    x = 87,209,802.51/13,627.60
  6. Step 6: Final answer
    x = 6,399.50

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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.