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Finding the Fourth Proportional to 24,950.80, 37,393.70 and 10,142.42

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Solution

The fourth proportional to 24,950.80, 37,393.70 and 10,142.42 is: 15,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,950.80 : 37,393.70 = 10,142.42 : x
  2. Step 2: Convert to fraction form
    24,950.80/37,393.70 = 10,142.42/x
  3. Step 3: Cross multiply
    24,950.80x = 37,393.70 × 10,142.42
  4. Step 4: Simplify right side
    24,950.80x = 379,262,610.75
  5. Step 5: Solve for x
    x = 379,262,610.75/24,950.80
  6. Step 6: Final answer
    x = 15,200.42

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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.