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Finding the Fourth Proportional to 24,370.92, 36,559.98 and 7,725.42

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Solution

The fourth proportional to 24,370.92, 36,559.98 and 7,725.42 is: 11,589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,370.92 : 36,559.98 = 7,725.42 : x
  2. Step 2: Convert to fraction form
    24,370.92/36,559.98 = 7,725.42/x
  3. Step 3: Cross multiply
    24,370.92x = 36,559.98 × 7,725.42
  4. Step 4: Simplify right side
    24,370.92x = 282,441,200.69
  5. Step 5: Solve for x
    x = 282,441,200.69/24,370.92
  6. Step 6: Final answer
    x = 11,589.27

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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.