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Finding the Fourth Proportional to 22,546.68, 31,116.72 and 12,986.88

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Solution

The fourth proportional to 22,546.68, 31,116.72 and 12,986.88 is: 17,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.68 : 31,116.72 = 12,986.88 : x
  2. Step 2: Convert to fraction form
    22,546.68/31,116.72 = 12,986.88/x
  3. Step 3: Cross multiply
    22,546.68x = 31,116.72 × 12,986.88
  4. Step 4: Simplify right side
    22,546.68x = 404,109,108.63
  5. Step 5: Solve for x
    x = 404,109,108.63/22,546.68
  6. Step 6: Final answer
    x = 17,923.22

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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.