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Finding the Fourth Proportional to 24,331.98, 36,494.80 and 7,693.68

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Solution

The fourth proportional to 24,331.98, 36,494.80 and 7,693.68 is: 11,539.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,331.98 : 36,494.80 = 7,693.68 : x
  2. Step 2: Convert to fraction form
    24,331.98/36,494.80 = 7,693.68/x
  3. Step 3: Cross multiply
    24,331.98x = 36,494.80 × 7,693.68
  4. Step 4: Simplify right side
    24,331.98x = 280,779,312.86
  5. Step 5: Solve for x
    x = 280,779,312.86/24,331.98
  6. Step 6: Final answer
    x = 11,539.52

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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.