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Finding the Fourth Proportional to 15,137.46, 22,691.52 and 7,342.02

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Solution

The fourth proportional to 15,137.46, 22,691.52 and 7,342.02 is: 11,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.46 : 22,691.52 = 7,342.02 : x
  2. Step 2: Convert to fraction form
    15,137.46/22,691.52 = 7,342.02/x
  3. Step 3: Cross multiply
    15,137.46x = 22,691.52 × 7,342.02
  4. Step 4: Simplify right side
    15,137.46x = 166,601,593.67
  5. Step 5: Solve for x
    x = 166,601,593.67/15,137.46
  6. Step 6: Final answer
    x = 11,005.91

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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.