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Finding the Fourth Proportional to 12,254.28, 18,382.11 and 3,488.50

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Solution

The fourth proportional to 12,254.28, 18,382.11 and 3,488.50 is: 5,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.28 : 18,382.11 = 3,488.50 : x
  2. Step 2: Convert to fraction form
    12,254.28/18,382.11 = 3,488.50/x
  3. Step 3: Cross multiply
    12,254.28x = 18,382.11 × 3,488.50
  4. Step 4: Simplify right side
    12,254.28x = 64,125,990.74
  5. Step 5: Solve for x
    x = 64,125,990.74/12,254.28
  6. Step 6: Final answer
    x = 5,232.95

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Why These Related Problems?

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