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Finding the Fourth Proportional to 12,342.40, 18,515.20 and 6,105.60

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Solution

The fourth proportional to 12,342.40, 18,515.20 and 6,105.60 is: 9,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.40 : 18,515.20 = 6,105.60 : x
  2. Step 2: Convert to fraction form
    12,342.40/18,515.20 = 6,105.60/x
  3. Step 3: Cross multiply
    12,342.40x = 18,515.20 × 6,105.60
  4. Step 4: Simplify right side
    12,342.40x = 113,046,405.12
  5. Step 5: Solve for x
    x = 113,046,405.12/12,342.40
  6. Step 6: Final answer
    x = 9,159.19

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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.