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Finding the Fourth Proportional to 21,254.70, 31,882.05 and 10,158.78

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Solution

The fourth proportional to 21,254.70, 31,882.05 and 10,158.78 is: 15,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.70 : 31,882.05 = 10,158.78 : x
  2. Step 2: Convert to fraction form
    21,254.70/31,882.05 = 10,158.78/x
  3. Step 3: Cross multiply
    21,254.70x = 31,882.05 × 10,158.78
  4. Step 4: Simplify right side
    21,254.70x = 323,882,731.90
  5. Step 5: Solve for x
    x = 323,882,731.90/21,254.70
  6. Step 6: Final answer
    x = 15,238.17

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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.