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Finding the Fourth Proportional to 27,836.97, 38,416.59 and 16,513.17

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Solution

The fourth proportional to 27,836.97, 38,416.59 and 16,513.17 is: 22,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,836.97 : 38,416.59 = 16,513.17 : x
  2. Step 2: Convert to fraction form
    27,836.97/38,416.59 = 16,513.17/x
  3. Step 3: Cross multiply
    27,836.97x = 38,416.59 × 16,513.17
  4. Step 4: Simplify right side
    27,836.97x = 634,379,681.49
  5. Step 5: Solve for x
    x = 634,379,681.49/27,836.97
  6. Step 6: Final answer
    x = 22,789.11

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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.