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Finding the Fourth Proportional to 11,976.60, 16,512.66 and 10,294.68

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Solution

The fourth proportional to 11,976.60, 16,512.66 and 10,294.68 is: 14,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.60 : 16,512.66 = 10,294.68 : x
  2. Step 2: Convert to fraction form
    11,976.60/16,512.66 = 10,294.68/x
  3. Step 3: Cross multiply
    11,976.60x = 16,512.66 × 10,294.68
  4. Step 4: Simplify right side
    11,976.60x = 169,992,550.65
  5. Step 5: Solve for x
    x = 169,992,550.65/11,976.60
  6. Step 6: Final answer
    x = 14,193.72

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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.