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Finding the Fourth Proportional to 21,141.48, 31,712.52 and 10,049.28

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Solution

The fourth proportional to 21,141.48, 31,712.52 and 10,049.28 is: 15,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141.48 : 31,712.52 = 10,049.28 : x
  2. Step 2: Convert to fraction form
    21,141.48/31,712.52 = 10,049.28/x
  3. Step 3: Cross multiply
    21,141.48x = 31,712.52 × 10,049.28
  4. Step 4: Simplify right side
    21,141.48x = 318,687,992.99
  5. Step 5: Solve for x
    x = 318,687,992.99/21,141.48
  6. Step 6: Final answer
    x = 15,074.06

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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.