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Finding the Fourth Proportional to 16,079.57, 24,134.93 and 7,765.43

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Solution

The fourth proportional to 16,079.57, 24,134.93 and 7,765.43 is: 11,655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,079.57 : 24,134.93 = 7,765.43 : x
  2. Step 2: Convert to fraction form
    16,079.57/24,134.93 = 7,765.43/x
  3. Step 3: Cross multiply
    16,079.57x = 24,134.93 × 7,765.43
  4. Step 4: Simplify right side
    16,079.57x = 187,417,949.97
  5. Step 5: Solve for x
    x = 187,417,949.97/16,079.57
  6. Step 6: Final answer
    x = 11,655.66

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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.