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Finding the Fourth Proportional to 27,657.68, 38,167.26 and 15,082.16

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Solution

The fourth proportional to 27,657.68, 38,167.26 and 15,082.16 is: 20,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.68 : 38,167.26 = 15,082.16 : x
  2. Step 2: Convert to fraction form
    27,657.68/38,167.26 = 15,082.16/x
  3. Step 3: Cross multiply
    27,657.68x = 38,167.26 × 15,082.16
  4. Step 4: Simplify right side
    27,657.68x = 575,644,722.08
  5. Step 5: Solve for x
    x = 575,644,722.08/27,657.68
  6. Step 6: Final answer
    x = 20,813.20

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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.