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Finding the Fourth Proportional to 16,180.52, 22,329.06 and 9,108.60

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Solution

The fourth proportional to 16,180.52, 22,329.06 and 9,108.60 is: 12,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.52 : 22,329.06 = 9,108.60 : x
  2. Step 2: Convert to fraction form
    16,180.52/22,329.06 = 9,108.60/x
  3. Step 3: Cross multiply
    16,180.52x = 22,329.06 × 9,108.60
  4. Step 4: Simplify right side
    16,180.52x = 203,386,475.92
  5. Step 5: Solve for x
    x = 203,386,475.92/16,180.52
  6. Step 6: Final answer
    x = 12,569.84

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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.