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Finding the Fourth Proportional to 22,819.24, 31,490.60 and 12,883.24

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Solution

The fourth proportional to 22,819.24, 31,490.60 and 12,883.24 is: 17,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,819.24 : 31,490.60 = 12,883.24 : x
  2. Step 2: Convert to fraction form
    22,819.24/31,490.60 = 12,883.24/x
  3. Step 3: Cross multiply
    22,819.24x = 31,490.60 × 12,883.24
  4. Step 4: Simplify right side
    22,819.24x = 405,700,957.54
  5. Step 5: Solve for x
    x = 405,700,957.54/22,819.24
  6. Step 6: Final answer
    x = 17,778.90

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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.