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Finding the Fourth Proportional to 13,648.38, 20,463.49 and 5,329.17

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Solution

The fourth proportional to 13,648.38, 20,463.49 and 5,329.17 is: 7,990.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.38 : 20,463.49 = 5,329.17 : x
  2. Step 2: Convert to fraction form
    13,648.38/20,463.49 = 5,329.17/x
  3. Step 3: Cross multiply
    13,648.38x = 20,463.49 × 5,329.17
  4. Step 4: Simplify right side
    13,648.38x = 109,053,417.00
  5. Step 5: Solve for x
    x = 109,053,417.00/13,648.38
  6. Step 6: Final answer
    x = 7,990.21

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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.