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Finding the Fourth Proportional to 27,982.29, 38,603.40 and 16,042.89

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Solution

The fourth proportional to 27,982.29, 38,603.40 and 16,042.89 is: 22,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.29 : 38,603.40 = 16,042.89 : x
  2. Step 2: Convert to fraction form
    27,982.29/38,603.40 = 16,042.89/x
  3. Step 3: Cross multiply
    27,982.29x = 38,603.40 × 16,042.89
  4. Step 4: Simplify right side
    27,982.29x = 619,310,099.83
  5. Step 5: Solve for x
    x = 619,310,099.83/27,982.29
  6. Step 6: Final answer
    x = 22,132.22

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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.