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Finding the Fourth Proportional to 22,949.80, 31,668.12 and 12,876.14

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Solution

The fourth proportional to 22,949.80, 31,668.12 and 12,876.14 is: 17,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,949.80 : 31,668.12 = 12,876.14 : x
  2. Step 2: Convert to fraction form
    22,949.80/31,668.12 = 12,876.14/x
  3. Step 3: Cross multiply
    22,949.80x = 31,668.12 × 12,876.14
  4. Step 4: Simplify right side
    22,949.80x = 407,763,146.66
  5. Step 5: Solve for x
    x = 407,763,146.66/22,949.80
  6. Step 6: Final answer
    x = 17,767.61

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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.