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Finding the Fourth Proportional to 16,197.10, 22,352.46 and 9,124.18

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Solution

The fourth proportional to 16,197.10, 22,352.46 and 9,124.18 is: 12,591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.10 : 22,352.46 = 9,124.18 : x
  2. Step 2: Convert to fraction form
    16,197.10/22,352.46 = 9,124.18/x
  3. Step 3: Cross multiply
    16,197.10x = 22,352.46 × 9,124.18
  4. Step 4: Simplify right side
    16,197.10x = 203,947,868.48
  5. Step 5: Solve for x
    x = 203,947,868.48/16,197.10
  6. Step 6: Final answer
    x = 12,591.63

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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.