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Finding the Fourth Proportional to 27,814.98, 38,378.92 and 15,882.20

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Solution

The fourth proportional to 27,814.98, 38,378.92 and 15,882.20 is: 21,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.98 : 38,378.92 = 15,882.20 : x
  2. Step 2: Convert to fraction form
    27,814.98/38,378.92 = 15,882.20/x
  3. Step 3: Cross multiply
    27,814.98x = 38,378.92 × 15,882.20
  4. Step 4: Simplify right side
    27,814.98x = 609,541,683.22
  5. Step 5: Solve for x
    x = 609,541,683.22/27,814.98
  6. Step 6: Final answer
    x = 21,914.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.