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Finding the Fourth Proportional to 12,342.40, 17,029.80 and 7,304.11

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Solution

The fourth proportional to 12,342.40, 17,029.80 and 7,304.11 is: 10,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.40 : 17,029.80 = 7,304.11 : x
  2. Step 2: Convert to fraction form
    12,342.40/17,029.80 = 7,304.11/x
  3. Step 3: Cross multiply
    12,342.40x = 17,029.80 × 7,304.11
  4. Step 4: Simplify right side
    12,342.40x = 124,387,489.90
  5. Step 5: Solve for x
    x = 124,387,489.90/12,342.40
  6. Step 6: Final answer
    x = 10,078.07

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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.