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Finding the Fourth Proportional to 27,616.14, 38,098.15 and 18,660.38

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Solution

The fourth proportional to 27,616.14, 38,098.15 and 18,660.38 is: 25,743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,616.14 : 38,098.15 = 18,660.38 : x
  2. Step 2: Convert to fraction form
    27,616.14/38,098.15 = 18,660.38/x
  3. Step 3: Cross multiply
    27,616.14x = 38,098.15 × 18,660.38
  4. Step 4: Simplify right side
    27,616.14x = 710,925,719.16
  5. Step 5: Solve for x
    x = 710,925,719.16/27,616.14
  6. Step 6: Final answer
    x = 25,743.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.