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Finding the Fourth Proportional to 24,231.68, 36,347.27 and 8,436.68

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Solution

The fourth proportional to 24,231.68, 36,347.27 and 8,436.68 is: 12,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.68 : 36,347.27 = 8,436.68 : x
  2. Step 2: Convert to fraction form
    24,231.68/36,347.27 = 8,436.68/x
  3. Step 3: Cross multiply
    24,231.68x = 36,347.27 × 8,436.68
  4. Step 4: Simplify right side
    24,231.68x = 306,650,061.94
  5. Step 5: Solve for x
    x = 306,650,061.94/24,231.68
  6. Step 6: Final answer
    x = 12,654.93

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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.