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Finding the Fourth Proportional to 24,370.92, 36,571.42 and 9,577.24

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Solution

The fourth proportional to 24,370.92, 36,571.42 and 9,577.24 is: 14,371.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,370.92 : 36,571.42 = 9,577.24 : x
  2. Step 2: Convert to fraction form
    24,370.92/36,571.42 = 9,577.24/x
  3. Step 3: Cross multiply
    24,370.92x = 36,571.42 × 9,577.24
  4. Step 4: Simplify right side
    24,370.92x = 350,253,266.48
  5. Step 5: Solve for x
    x = 350,253,266.48/24,370.92
  6. Step 6: Final answer
    x = 14,371.77

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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.