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Finding the Fourth Proportional to 12,434.40, 18,608.40 and 8,546.40

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Solution

The fourth proportional to 12,434.40, 18,608.40 and 8,546.40 is: 12,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.40 : 18,608.40 = 8,546.40 : x
  2. Step 2: Convert to fraction form
    12,434.40/18,608.40 = 8,546.40/x
  3. Step 3: Cross multiply
    12,434.40x = 18,608.40 × 8,546.40
  4. Step 4: Simplify right side
    12,434.40x = 159,034,829.76
  5. Step 5: Solve for x
    x = 159,034,829.76/12,434.40
  6. Step 6: Final answer
    x = 12,789.91

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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.