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Finding the Fourth Proportional to 12,382.16, 17,067.72 and 12,136.40

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Solution

The fourth proportional to 12,382.16, 17,067.72 and 12,136.40 is: 16,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.16 : 17,067.72 = 12,136.40 : x
  2. Step 2: Convert to fraction form
    12,382.16/17,067.72 = 12,136.40/x
  3. Step 3: Cross multiply
    12,382.16x = 17,067.72 × 12,136.40
  4. Step 4: Simplify right side
    12,382.16x = 207,140,677.01
  5. Step 5: Solve for x
    x = 207,140,677.01/12,382.16
  6. Step 6: Final answer
    x = 16,728.96

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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.