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Finding the Fourth Proportional to 20,037.74, 27,654.16 and 11,540.17

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Solution

The fourth proportional to 20,037.74, 27,654.16 and 11,540.17 is: 15,926.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,037.74 : 27,654.16 = 11,540.17 : x
  2. Step 2: Convert to fraction form
    20,037.74/27,654.16 = 11,540.17/x
  3. Step 3: Cross multiply
    20,037.74x = 27,654.16 × 11,540.17
  4. Step 4: Simplify right side
    20,037.74x = 319,133,569.34
  5. Step 5: Solve for x
    x = 319,133,569.34/20,037.74
  6. Step 6: Final answer
    x = 15,926.62

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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.