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Finding the Fourth Proportional to 24,269.96, 36,407.61 and 10,227.40

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Solution

The fourth proportional to 24,269.96, 36,407.61 and 10,227.40 is: 15,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269.96 : 36,407.61 = 10,227.40 : x
  2. Step 2: Convert to fraction form
    24,269.96/36,407.61 = 10,227.40/x
  3. Step 3: Cross multiply
    24,269.96x = 36,407.61 × 10,227.40
  4. Step 4: Simplify right side
    24,269.96x = 372,355,099.49
  5. Step 5: Solve for x
    x = 372,355,099.49/24,269.96
  6. Step 6: Final answer
    x = 15,342.22

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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.