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Finding the Fourth Proportional to 13,428.40, 20,140.08 and 5,637.28

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Solution

The fourth proportional to 13,428.40, 20,140.08 and 5,637.28 is: 8,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.40 : 20,140.08 = 5,637.28 : x
  2. Step 2: Convert to fraction form
    13,428.40/20,140.08 = 5,637.28/x
  3. Step 3: Cross multiply
    13,428.40x = 20,140.08 × 5,637.28
  4. Step 4: Simplify right side
    13,428.40x = 113,535,270.18
  5. Step 5: Solve for x
    x = 113,535,270.18/13,428.40
  6. Step 6: Final answer
    x = 8,454.86

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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.