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Finding the Fourth Proportional to 12,343.47, 17,033.92 and 6,678.23

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Solution

The fourth proportional to 12,343.47, 17,033.92 and 6,678.23 is: 9,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.47 : 17,033.92 = 6,678.23 : x
  2. Step 2: Convert to fraction form
    12,343.47/17,033.92 = 6,678.23/x
  3. Step 3: Cross multiply
    12,343.47x = 17,033.92 × 6,678.23
  4. Step 4: Simplify right side
    12,343.47x = 113,756,317.00
  5. Step 5: Solve for x
    x = 113,756,317.00/12,343.47
  6. Step 6: Final answer
    x = 9,215.91

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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.