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Finding the Fourth Proportional to 24,775.97, 37,174.38 and 15,423.82

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Solution

The fourth proportional to 24,775.97, 37,174.38 and 15,423.82 is: 23,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,775.97 : 37,174.38 = 15,423.82 : x
  2. Step 2: Convert to fraction form
    24,775.97/37,174.38 = 15,423.82/x
  3. Step 3: Cross multiply
    24,775.97x = 37,174.38 × 15,423.82
  4. Step 4: Simplify right side
    24,775.97x = 573,370,945.73
  5. Step 5: Solve for x
    x = 573,370,945.73/24,775.97
  6. Step 6: Final answer
    x = 23,142.22

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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.