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Finding the Fourth Proportional to 27,869.18, 38,462.16 and 15,930.24

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Solution

The fourth proportional to 27,869.18, 38,462.16 and 15,930.24 is: 21,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,869.18 : 38,462.16 = 15,930.24 : x
  2. Step 2: Convert to fraction form
    27,869.18/38,462.16 = 15,930.24/x
  3. Step 3: Cross multiply
    27,869.18x = 38,462.16 × 15,930.24
  4. Step 4: Simplify right side
    27,869.18x = 612,711,439.72
  5. Step 5: Solve for x
    x = 612,711,439.72/27,869.18
  6. Step 6: Final answer
    x = 21,985.27

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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.