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Finding the Fourth Proportional to 12,930.48, 19,397.52 and 4,162.44

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Solution

The fourth proportional to 12,930.48, 19,397.52 and 4,162.44 is: 6,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.48 : 19,397.52 = 4,162.44 : x
  2. Step 2: Convert to fraction form
    12,930.48/19,397.52 = 4,162.44/x
  3. Step 3: Cross multiply
    12,930.48x = 19,397.52 × 4,162.44
  4. Step 4: Simplify right side
    12,930.48x = 80,741,013.15
  5. Step 5: Solve for x
    x = 80,741,013.15/12,930.48
  6. Step 6: Final answer
    x = 6,244.24

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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.