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Finding the Fourth Proportional to 12,633.13, 17,432.97 and 7,255.84

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Solution

The fourth proportional to 12,633.13, 17,432.97 and 7,255.84 is: 10,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.13 : 17,432.97 = 7,255.84 : x
  2. Step 2: Convert to fraction form
    12,633.13/17,432.97 = 7,255.84/x
  3. Step 3: Cross multiply
    12,633.13x = 17,432.97 × 7,255.84
  4. Step 4: Simplify right side
    12,633.13x = 126,490,841.04
  5. Step 5: Solve for x
    x = 126,490,841.04/12,633.13
  6. Step 6: Final answer
    x = 10,012.63

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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.