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Finding the Fourth Proportional to 22,118.64, 30,523.42 and 12,687

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Solution

The fourth proportional to 22,118.64, 30,523.42 and 12,687 is: 17,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,118.64 : 30,523.42 = 12,687 : x
  2. Step 2: Convert to fraction form
    22,118.64/30,523.42 = 12,687/x
  3. Step 3: Cross multiply
    22,118.64x = 30,523.42 × 12,687
  4. Step 4: Simplify right side
    22,118.64x = 387,250,629.54
  5. Step 5: Solve for x
    x = 387,250,629.54/22,118.64
  6. Step 6: Final answer
    x = 17,507.89

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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.