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Finding the Fourth Proportional to 12,382.12, 17,080.41 and 7,341.49

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Solution

The fourth proportional to 12,382.12, 17,080.41 and 7,341.49 is: 10,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.12 : 17,080.41 = 7,341.49 : x
  2. Step 2: Convert to fraction form
    12,382.12/17,080.41 = 7,341.49/x
  3. Step 3: Cross multiply
    12,382.12x = 17,080.41 × 7,341.49
  4. Step 4: Simplify right side
    12,382.12x = 125,395,659.21
  5. Step 5: Solve for x
    x = 125,395,659.21/12,382.12
  6. Step 6: Final answer
    x = 10,127.16

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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.