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Finding the Fourth Proportional to 27,842.28, 38,416.53 and 17,764.30

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Solution

The fourth proportional to 27,842.28, 38,416.53 and 17,764.30 is: 24,511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.28 : 38,416.53 = 17,764.30 : x
  2. Step 2: Convert to fraction form
    27,842.28/38,416.53 = 17,764.30/x
  3. Step 3: Cross multiply
    27,842.28x = 38,416.53 × 17,764.30
  4. Step 4: Simplify right side
    27,842.28x = 682,442,763.88
  5. Step 5: Solve for x
    x = 682,442,763.88/27,842.28
  6. Step 6: Final answer
    x = 24,511.02

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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.