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Finding the Fourth Proportional to 16,083.82, 22,191.33 and 9,791.74

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Solution

The fourth proportional to 16,083.82, 22,191.33 and 9,791.74 is: 13,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.82 : 22,191.33 = 9,791.74 : x
  2. Step 2: Convert to fraction form
    16,083.82/22,191.33 = 9,791.74/x
  3. Step 3: Cross multiply
    16,083.82x = 22,191.33 × 9,791.74
  4. Step 4: Simplify right side
    16,083.82x = 217,291,733.61
  5. Step 5: Solve for x
    x = 217,291,733.61/16,083.82
  6. Step 6: Final answer
    x = 13,509.96

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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.