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Finding the Fourth Proportional to 12,294.30, 18,439.85 and 3,973.47

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Solution

The fourth proportional to 12,294.30, 18,439.85 and 3,973.47 is: 5,959.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.30 : 18,439.85 = 3,973.47 : x
  2. Step 2: Convert to fraction form
    12,294.30/18,439.85 = 3,973.47/x
  3. Step 3: Cross multiply
    12,294.30x = 18,439.85 × 3,973.47
  4. Step 4: Simplify right side
    12,294.30x = 73,270,190.78
  5. Step 5: Solve for x
    x = 73,270,190.78/12,294.30
  6. Step 6: Final answer
    x = 5,959.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.