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Finding the Fourth Proportional to 27,982.66, 38,616.11 and 15,407.41

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Solution

The fourth proportional to 27,982.66, 38,616.11 and 15,407.41 is: 21,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.66 : 38,616.11 = 15,407.41 : x
  2. Step 2: Convert to fraction form
    27,982.66/38,616.11 = 15,407.41/x
  3. Step 3: Cross multiply
    27,982.66x = 38,616.11 × 15,407.41
  4. Step 4: Simplify right side
    27,982.66x = 594,974,239.38
  5. Step 5: Solve for x
    x = 594,974,239.38/27,982.66
  6. Step 6: Final answer
    x = 21,262.25

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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.