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Finding the Fourth Proportional to 10,016.62, 14,951.48 and 8,834.31

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Solution

The fourth proportional to 10,016.62, 14,951.48 and 8,834.31 is: 13,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.62 : 14,951.48 = 8,834.31 : x
  2. Step 2: Convert to fraction form
    10,016.62/14,951.48 = 8,834.31/x
  3. Step 3: Cross multiply
    10,016.62x = 14,951.48 × 8,834.31
  4. Step 4: Simplify right side
    10,016.62x = 132,085,965.11
  5. Step 5: Solve for x
    x = 132,085,965.11/10,016.62
  6. Step 6: Final answer
    x = 13,186.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.