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Finding the Fourth Proportional to 22,722.50, 31,356.70 and 12,650.92

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Solution

The fourth proportional to 22,722.50, 31,356.70 and 12,650.92 is: 17,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,722.50 : 31,356.70 = 12,650.92 : x
  2. Step 2: Convert to fraction form
    22,722.50/31,356.70 = 12,650.92/x
  3. Step 3: Cross multiply
    22,722.50x = 31,356.70 × 12,650.92
  4. Step 4: Simplify right side
    22,722.50x = 396,691,103.16
  5. Step 5: Solve for x
    x = 396,691,103.16/22,722.50
  6. Step 6: Final answer
    x = 17,458.07

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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.