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Finding the Fourth Proportional to 25,221, 37,828.11 and 10,427.88

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Solution

The fourth proportional to 25,221, 37,828.11 and 10,427.88 is: 15,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,221 : 37,828.11 = 10,427.88 : x
  2. Step 2: Convert to fraction form
    25,221/37,828.11 = 10,427.88/x
  3. Step 3: Cross multiply
    25,221x = 37,828.11 × 10,427.88
  4. Step 4: Simplify right side
    25,221x = 394,466,991.71
  5. Step 5: Solve for x
    x = 394,466,991.71/25,221
  6. Step 6: Final answer
    x = 15,640.42

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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.