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Finding the Fourth Proportional to 12,298.40, 18,445.20 and 3,976.40

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Solution

The fourth proportional to 12,298.40, 18,445.20 and 3,976.40 is: 5,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.40 : 18,445.20 = 3,976.40 : x
  2. Step 2: Convert to fraction form
    12,298.40/18,445.20 = 3,976.40/x
  3. Step 3: Cross multiply
    12,298.40x = 18,445.20 × 3,976.40
  4. Step 4: Simplify right side
    12,298.40x = 73,345,493.28
  5. Step 5: Solve for x
    x = 73,345,493.28/12,298.40
  6. Step 6: Final answer
    x = 5,963.82

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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.