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Finding the Fourth Proportional to 24,254.80, 36,387.68 and 7,614.77

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Solution

The fourth proportional to 24,254.80, 36,387.68 and 7,614.77 is: 11,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,254.80 : 36,387.68 = 7,614.77 : x
  2. Step 2: Convert to fraction form
    24,254.80/36,387.68 = 7,614.77/x
  3. Step 3: Cross multiply
    24,254.80x = 36,387.68 × 7,614.77
  4. Step 4: Simplify right side
    24,254.80x = 277,083,814.03
  5. Step 5: Solve for x
    x = 277,083,814.03/24,254.80
  6. Step 6: Final answer
    x = 11,423.88

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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.