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Finding the Fourth Proportional to 13,902.25, 20,854.29 and 5,581.17

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Solution

The fourth proportional to 13,902.25, 20,854.29 and 5,581.17 is: 8,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.25 : 20,854.29 = 5,581.17 : x
  2. Step 2: Convert to fraction form
    13,902.25/20,854.29 = 5,581.17/x
  3. Step 3: Cross multiply
    13,902.25x = 20,854.29 × 5,581.17
  4. Step 4: Simplify right side
    13,902.25x = 116,391,309.81
  5. Step 5: Solve for x
    x = 116,391,309.81/13,902.25
  6. Step 6: Final answer
    x = 8,372.12

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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.