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Finding the Fourth Proportional to 22,722.39, 31,353.15 and 12,650.57

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Solution

The fourth proportional to 22,722.39, 31,353.15 and 12,650.57 is: 17,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,722.39 : 31,353.15 = 12,650.57 : x
  2. Step 2: Convert to fraction form
    22,722.39/31,353.15 = 12,650.57/x
  3. Step 3: Cross multiply
    22,722.39x = 31,353.15 × 12,650.57
  4. Step 4: Simplify right side
    22,722.39x = 396,635,297.18
  5. Step 5: Solve for x
    x = 396,635,297.18/22,722.39
  6. Step 6: Final answer
    x = 17,455.70

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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.