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Finding the Fourth Proportional to 13,901.28, 20,815.20 and 9,746.40

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Solution

The fourth proportional to 13,901.28, 20,815.20 and 9,746.40 is: 14,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.28 : 20,815.20 = 9,746.40 : x
  2. Step 2: Convert to fraction form
    13,901.28/20,815.20 = 9,746.40/x
  3. Step 3: Cross multiply
    13,901.28x = 20,815.20 × 9,746.40
  4. Step 4: Simplify right side
    13,901.28x = 202,873,265.28
  5. Step 5: Solve for x
    x = 202,873,265.28/13,901.28
  6. Step 6: Final answer
    x = 14,593.86

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