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Finding the Fourth Proportional to 12,766.74, 17,618.36 and 7,464.65

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Solution

The fourth proportional to 12,766.74, 17,618.36 and 7,464.65 is: 10,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.74 : 17,618.36 = 7,464.65 : x
  2. Step 2: Convert to fraction form
    12,766.74/17,618.36 = 7,464.65/x
  3. Step 3: Cross multiply
    12,766.74x = 17,618.36 × 7,464.65
  4. Step 4: Simplify right side
    12,766.74x = 131,514,765.56
  5. Step 5: Solve for x
    x = 131,514,765.56/12,766.74
  6. Step 6: Final answer
    x = 10,301.36

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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.