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Finding the Fourth Proportional to 12,153.60, 16,778.88 and 8,382.24

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Solution

The fourth proportional to 12,153.60, 16,778.88 and 8,382.24 is: 11,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.60 : 16,778.88 = 8,382.24 : x
  2. Step 2: Convert to fraction form
    12,153.60/16,778.88 = 8,382.24/x
  3. Step 3: Cross multiply
    12,153.60x = 16,778.88 × 8,382.24
  4. Step 4: Simplify right side
    12,153.60x = 140,644,599.09
  5. Step 5: Solve for x
    x = 140,644,599.09/12,153.60
  6. Step 6: Final answer
    x = 11,572.26

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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.