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Finding the Fourth Proportional to 25,227.70, 37,846.14 and 10,428.58

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Solution

The fourth proportional to 25,227.70, 37,846.14 and 10,428.58 is: 15,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,227.70 : 37,846.14 = 10,428.58 : x
  2. Step 2: Convert to fraction form
    25,227.70/37,846.14 = 10,428.58/x
  3. Step 3: Cross multiply
    25,227.70x = 37,846.14 × 10,428.58
  4. Step 4: Simplify right side
    25,227.70x = 394,681,498.68
  5. Step 5: Solve for x
    x = 394,681,498.68/25,227.70
  6. Step 6: Final answer
    x = 15,644.77

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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.