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Finding the Fourth Proportional to 27,614.70, 38,109.24 and 15,677.64

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Solution

The fourth proportional to 27,614.70, 38,109.24 and 15,677.64 is: 21,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.70 : 38,109.24 = 15,677.64 : x
  2. Step 2: Convert to fraction form
    27,614.70/38,109.24 = 15,677.64/x
  3. Step 3: Cross multiply
    27,614.70x = 38,109.24 × 15,677.64
  4. Step 4: Simplify right side
    27,614.70x = 597,462,945.39
  5. Step 5: Solve for x
    x = 597,462,945.39/27,614.70
  6. Step 6: Final answer
    x = 21,635.68

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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.