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Finding the Fourth Proportional to 12,132.46, 16,744.47 and 7,354.33

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Solution

The fourth proportional to 12,132.46, 16,744.47 and 7,354.33 is: 10,149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.46 : 16,744.47 = 7,354.33 : x
  2. Step 2: Convert to fraction form
    12,132.46/16,744.47 = 7,354.33/x
  3. Step 3: Cross multiply
    12,132.46x = 16,744.47 × 7,354.33
  4. Step 4: Simplify right side
    12,132.46x = 123,144,358.06
  5. Step 5: Solve for x
    x = 123,144,358.06/12,132.46
  6. Step 6: Final answer
    x = 10,149.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.