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Finding the Fourth Proportional to 27,836.25, 38,414.16 and 16,658.25

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Solution

The fourth proportional to 27,836.25, 38,414.16 and 16,658.25 is: 22,988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,836.25 : 38,414.16 = 16,658.25 : x
  2. Step 2: Convert to fraction form
    27,836.25/38,414.16 = 16,658.25/x
  3. Step 3: Cross multiply
    27,836.25x = 38,414.16 × 16,658.25
  4. Step 4: Simplify right side
    27,836.25x = 639,912,680.82
  5. Step 5: Solve for x
    x = 639,912,680.82/27,836.25
  6. Step 6: Final answer
    x = 22,988.47

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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.