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Finding the Fourth Proportional to 12,378.66, 18,563.66 and 7,449.18

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Solution

The fourth proportional to 12,378.66, 18,563.66 and 7,449.18 is: 11,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.66 : 18,563.66 = 7,449.18 : x
  2. Step 2: Convert to fraction form
    12,378.66/18,563.66 = 7,449.18/x
  3. Step 3: Cross multiply
    12,378.66x = 18,563.66 × 7,449.18
  4. Step 4: Simplify right side
    12,378.66x = 138,284,044.80
  5. Step 5: Solve for x
    x = 138,284,044.80/12,378.66
  6. Step 6: Final answer
    x = 11,171.16

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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.