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Finding the Fourth Proportional to 12,815.30, 17,658.87 and 9,452.79

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Solution

The fourth proportional to 12,815.30, 17,658.87 and 9,452.79 is: 13,025.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.30 : 17,658.87 = 9,452.79 : x
  2. Step 2: Convert to fraction form
    12,815.30/17,658.87 = 9,452.79/x
  3. Step 3: Cross multiply
    12,815.30x = 17,658.87 × 9,452.79
  4. Step 4: Simplify right side
    12,815.30x = 166,925,589.75
  5. Step 5: Solve for x
    x = 166,925,589.75/12,815.30
  6. Step 6: Final answer
    x = 13,025.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.