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Finding the Fourth Proportional to 12,295.26, 16,960.80 and 10,158.15

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Solution

The fourth proportional to 12,295.26, 16,960.80 and 10,158.15 is: 14,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.26 : 16,960.80 = 10,158.15 : x
  2. Step 2: Convert to fraction form
    12,295.26/16,960.80 = 10,158.15/x
  3. Step 3: Cross multiply
    12,295.26x = 16,960.80 × 10,158.15
  4. Step 4: Simplify right side
    12,295.26x = 172,290,350.52
  5. Step 5: Solve for x
    x = 172,290,350.52/12,295.26
  6. Step 6: Final answer
    x = 14,012.75

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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.