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Finding the Fourth Proportional to 27,657.28, 38,167.04 and 15,082

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Solution

The fourth proportional to 27,657.28, 38,167.04 and 15,082 is: 20,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.28 : 38,167.04 = 15,082 : x
  2. Step 2: Convert to fraction form
    27,657.28/38,167.04 = 15,082/x
  3. Step 3: Cross multiply
    27,657.28x = 38,167.04 × 15,082
  4. Step 4: Simplify right side
    27,657.28x = 575,635,297.28
  5. Step 5: Solve for x
    x = 575,635,297.28/27,657.28
  6. Step 6: Final answer
    x = 20,813.16

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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.