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Finding the Fourth Proportional to 12,281.20, 18,422.40 and 6,449.20

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Solution

The fourth proportional to 12,281.20, 18,422.40 and 6,449.20 is: 9,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.20 : 18,422.40 = 6,449.20 : x
  2. Step 2: Convert to fraction form
    12,281.20/18,422.40 = 6,449.20/x
  3. Step 3: Cross multiply
    12,281.20x = 18,422.40 × 6,449.20
  4. Step 4: Simplify right side
    12,281.20x = 118,809,742.08
  5. Step 5: Solve for x
    x = 118,809,742.08/12,281.20
  6. Step 6: Final answer
    x = 9,674.12

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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.