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Finding the Fourth Proportional to 12,382.60, 17,080.50 and 8,192.20

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Solution

The fourth proportional to 12,382.60, 17,080.50 and 8,192.20 is: 11,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.60 : 17,080.50 = 8,192.20 : x
  2. Step 2: Convert to fraction form
    12,382.60/17,080.50 = 8,192.20/x
  3. Step 3: Cross multiply
    12,382.60x = 17,080.50 × 8,192.20
  4. Step 4: Simplify right side
    12,382.60x = 139,926,872.10
  5. Step 5: Solve for x
    x = 139,926,872.10/12,382.60
  6. Step 6: Final answer
    x = 11,300.28

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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.