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Finding the Fourth Proportional to 12,282.16, 18,426.90 and 3,963.48

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Solution

The fourth proportional to 12,282.16, 18,426.90 and 3,963.48 is: 5,946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.16 : 18,426.90 = 3,963.48 : x
  2. Step 2: Convert to fraction form
    12,282.16/18,426.90 = 3,963.48/x
  3. Step 3: Cross multiply
    12,282.16x = 18,426.90 × 3,963.48
  4. Step 4: Simplify right side
    12,282.16x = 73,034,649.61
  5. Step 5: Solve for x
    x = 73,034,649.61/12,282.16
  6. Step 6: Final answer
    x = 5,946.40

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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.