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Finding the Fourth Proportional to 24,507.59, 36,755.91 and 9,712.53

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Solution

The fourth proportional to 24,507.59, 36,755.91 and 9,712.53 is: 14,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.59 : 36,755.91 = 9,712.53 : x
  2. Step 2: Convert to fraction form
    24,507.59/36,755.91 = 9,712.53/x
  3. Step 3: Cross multiply
    24,507.59x = 36,755.91 × 9,712.53
  4. Step 4: Simplify right side
    24,507.59x = 356,992,878.55
  5. Step 5: Solve for x
    x = 356,992,878.55/24,507.59
  6. Step 6: Final answer
    x = 14,566.63

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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.