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Finding the Fourth Proportional to 16,182.28, 24,280.98 and 8,386.84

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Solution

The fourth proportional to 16,182.28, 24,280.98 and 8,386.84 is: 12,584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.28 : 24,280.98 = 8,386.84 : x
  2. Step 2: Convert to fraction form
    16,182.28/24,280.98 = 8,386.84/x
  3. Step 3: Cross multiply
    16,182.28x = 24,280.98 × 8,386.84
  4. Step 4: Simplify right side
    16,182.28x = 203,640,694.30
  5. Step 5: Solve for x
    x = 203,640,694.30/16,182.28
  6. Step 6: Final answer
    x = 12,584.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.