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Finding the Fourth Proportional to 27,657.52, 38,166.96 and 15,082

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Solution

The fourth proportional to 27,657.52, 38,166.96 and 15,082 is: 20,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.52 : 38,166.96 = 15,082 : x
  2. Step 2: Convert to fraction form
    27,657.52/38,166.96 = 15,082/x
  3. Step 3: Cross multiply
    27,657.52x = 38,166.96 × 15,082
  4. Step 4: Simplify right side
    27,657.52x = 575,634,090.72
  5. Step 5: Solve for x
    x = 575,634,090.72/27,657.52
  6. Step 6: Final answer
    x = 20,812.93

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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.