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Finding the Fourth Proportional to 12,732.96, 19,095.72 and 5,337.24

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Solution

The fourth proportional to 12,732.96, 19,095.72 and 5,337.24 is: 8,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.96 : 19,095.72 = 5,337.24 : x
  2. Step 2: Convert to fraction form
    12,732.96/19,095.72 = 5,337.24/x
  3. Step 3: Cross multiply
    12,732.96x = 19,095.72 × 5,337.24
  4. Step 4: Simplify right side
    12,732.96x = 101,918,440.61
  5. Step 5: Solve for x
    x = 101,918,440.61/12,732.96
  6. Step 6: Final answer
    x = 8,004.30

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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.