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Finding the Fourth Proportional to 12,452.64, 18,678.96 and 7,195.68

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Solution

The fourth proportional to 12,452.64, 18,678.96 and 7,195.68 is: 10,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.64 : 18,678.96 = 7,195.68 : x
  2. Step 2: Convert to fraction form
    12,452.64/18,678.96 = 7,195.68/x
  3. Step 3: Cross multiply
    12,452.64x = 18,678.96 × 7,195.68
  4. Step 4: Simplify right side
    12,452.64x = 134,407,818.89
  5. Step 5: Solve for x
    x = 134,407,818.89/12,452.64
  6. Step 6: Final answer
    x = 10,793.52

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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.