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Finding the Fourth Proportional to 24,950.57, 37,393.44 and 10,142.24

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Solution

The fourth proportional to 24,950.57, 37,393.44 and 10,142.24 is: 15,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,950.57 : 37,393.44 = 10,142.24 : x
  2. Step 2: Convert to fraction form
    24,950.57/37,393.44 = 10,142.24/x
  3. Step 3: Cross multiply
    24,950.57x = 37,393.44 × 10,142.24
  4. Step 4: Simplify right side
    24,950.57x = 379,253,242.91
  5. Step 5: Solve for x
    x = 379,253,242.91/24,950.57
  6. Step 6: Final answer
    x = 15,200.18

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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.