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Finding the Fourth Proportional to 12,414.61, 17,127.31 and 7,106.59

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Solution

The fourth proportional to 12,414.61, 17,127.31 and 7,106.59 is: 9,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.61 : 17,127.31 = 7,106.59 : x
  2. Step 2: Convert to fraction form
    12,414.61/17,127.31 = 7,106.59/x
  3. Step 3: Cross multiply
    12,414.61x = 17,127.31 × 7,106.59
  4. Step 4: Simplify right side
    12,414.61x = 121,716,769.97
  5. Step 5: Solve for x
    x = 121,716,769.97/12,414.61
  6. Step 6: Final answer
    x = 9,804.32

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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.