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Finding the Fourth Proportional to 12,414.80, 17,130.74 and 7,377.18

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Solution

The fourth proportional to 12,414.80, 17,130.74 and 7,377.18 is: 10,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.80 : 17,130.74 = 7,377.18 : x
  2. Step 2: Convert to fraction form
    12,414.80/17,130.74 = 7,377.18/x
  3. Step 3: Cross multiply
    12,414.80x = 17,130.74 × 7,377.18
  4. Step 4: Simplify right side
    12,414.80x = 126,376,552.51
  5. Step 5: Solve for x
    x = 126,376,552.51/12,414.80
  6. Step 6: Final answer
    x = 10,179.51

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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.