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Finding the Fourth Proportional to 16,569.75, 22,865.56 and 9,016.11

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Solution

The fourth proportional to 16,569.75, 22,865.56 and 9,016.11 is: 12,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.75 : 22,865.56 = 9,016.11 : x
  2. Step 2: Convert to fraction form
    16,569.75/22,865.56 = 9,016.11/x
  3. Step 3: Cross multiply
    16,569.75x = 22,865.56 × 9,016.11
  4. Step 4: Simplify right side
    16,569.75x = 206,158,404.17
  5. Step 5: Solve for x
    x = 206,158,404.17/16,569.75
  6. Step 6: Final answer
    x = 12,441.85

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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.