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Finding the Fourth Proportional to 24,238.92, 36,343.47 and 9,430.56

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Solution

The fourth proportional to 24,238.92, 36,343.47 and 9,430.56 is: 14,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,238.92 : 36,343.47 = 9,430.56 : x
  2. Step 2: Convert to fraction form
    24,238.92/36,343.47 = 9,430.56/x
  3. Step 3: Cross multiply
    24,238.92x = 36,343.47 × 9,430.56
  4. Step 4: Simplify right side
    24,238.92x = 342,739,274.44
  5. Step 5: Solve for x
    x = 342,739,274.44/24,238.92
  6. Step 6: Final answer
    x = 14,140.04

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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.