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Finding the Fourth Proportional to 12,462.86, 17,206.43 and 9,272.48

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Solution

The fourth proportional to 12,462.86, 17,206.43 and 9,272.48 is: 12,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.86 : 17,206.43 = 9,272.48 : x
  2. Step 2: Convert to fraction form
    12,462.86/17,206.43 = 9,272.48/x
  3. Step 3: Cross multiply
    12,462.86x = 17,206.43 × 9,272.48
  4. Step 4: Simplify right side
    12,462.86x = 159,546,145.65
  5. Step 5: Solve for x
    x = 159,546,145.65/12,462.86
  6. Step 6: Final answer
    x = 12,801.73

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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.