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Finding the Fourth Proportional to 24,331.66, 36,502.99 and 7,692.71

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Solution

The fourth proportional to 24,331.66, 36,502.99 and 7,692.71 is: 11,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,331.66 : 36,502.99 = 7,692.71 : x
  2. Step 2: Convert to fraction form
    24,331.66/36,502.99 = 7,692.71/x
  3. Step 3: Cross multiply
    24,331.66x = 36,502.99 × 7,692.71
  4. Step 4: Simplify right side
    24,331.66x = 280,806,714.46
  5. Step 5: Solve for x
    x = 280,806,714.46/24,331.66
  6. Step 6: Final answer
    x = 11,540.80

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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.