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Finding the Fourth Proportional to 16,363.25, 22,578.82 and 9,191.79

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Solution

The fourth proportional to 16,363.25, 22,578.82 and 9,191.79 is: 12,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,363.25 : 22,578.82 = 9,191.79 : x
  2. Step 2: Convert to fraction form
    16,363.25/22,578.82 = 9,191.79/x
  3. Step 3: Cross multiply
    16,363.25x = 22,578.82 × 9,191.79
  4. Step 4: Simplify right side
    16,363.25x = 207,539,748.91
  5. Step 5: Solve for x
    x = 207,539,748.91/16,363.25
  6. Step 6: Final answer
    x = 12,683.29

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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.