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Finding the Fourth Proportional to 27,397.28, 37,752.48 and 18,902

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Solution

The fourth proportional to 27,397.28, 37,752.48 and 18,902 is: 26,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,397.28 : 37,752.48 = 18,902 : x
  2. Step 2: Convert to fraction form
    27,397.28/37,752.48 = 18,902/x
  3. Step 3: Cross multiply
    27,397.28x = 37,752.48 × 18,902
  4. Step 4: Simplify right side
    27,397.28x = 713,597,376.96
  5. Step 5: Solve for x
    x = 713,597,376.96/27,397.28
  6. Step 6: Final answer
    x = 26,046.29

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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.