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Finding the Fourth Proportional to 12,732.39, 19,097.24 and 7,793.42

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Solution

The fourth proportional to 12,732.39, 19,097.24 and 7,793.42 is: 11,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.39 : 19,097.24 = 7,793.42 : x
  2. Step 2: Convert to fraction form
    12,732.39/19,097.24 = 7,793.42/x
  3. Step 3: Cross multiply
    12,732.39x = 19,097.24 × 7,793.42
  4. Step 4: Simplify right side
    12,732.39x = 148,832,677.71
  5. Step 5: Solve for x
    x = 148,832,677.71/12,732.39
  6. Step 6: Final answer
    x = 11,689.30

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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.