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Finding the Fourth Proportional to 21,254.26, 31,882.47 and 7,215.88

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Solution

The fourth proportional to 21,254.26, 31,882.47 and 7,215.88 is: 10,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.26 : 31,882.47 = 7,215.88 : x
  2. Step 2: Convert to fraction form
    21,254.26/31,882.47 = 7,215.88/x
  3. Step 3: Cross multiply
    21,254.26x = 31,882.47 × 7,215.88
  4. Step 4: Simplify right side
    21,254.26x = 230,060,077.62
  5. Step 5: Solve for x
    x = 230,060,077.62/21,254.26
  6. Step 6: Final answer
    x = 10,824.19

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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.