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Finding the Fourth Proportional to 27,830.97, 38,408.31 and 16,507.17

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Solution

The fourth proportional to 27,830.97, 38,408.31 and 16,507.17 is: 22,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.97 : 38,408.31 = 16,507.17 : x
  2. Step 2: Convert to fraction form
    27,830.97/38,408.31 = 16,507.17/x
  3. Step 3: Cross multiply
    27,830.97x = 38,408.31 × 16,507.17
  4. Step 4: Simplify right side
    27,830.97x = 634,012,502.58
  5. Step 5: Solve for x
    x = 634,012,502.58/27,830.97
  6. Step 6: Final answer
    x = 22,780.83

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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.