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Finding the Fourth Proportional to 12,134.76, 18,207.24 and 6,592

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Solution

The fourth proportional to 12,134.76, 18,207.24 and 6,592 is: 9,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.76 : 18,207.24 = 6,592 : x
  2. Step 2: Convert to fraction form
    12,134.76/18,207.24 = 6,592/x
  3. Step 3: Cross multiply
    12,134.76x = 18,207.24 × 6,592
  4. Step 4: Simplify right side
    12,134.76x = 120,022,126.08
  5. Step 5: Solve for x
    x = 120,022,126.08/12,134.76
  6. Step 6: Final answer
    x = 9,890.77

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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.