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Finding the Fourth Proportional to 22,709.10, 31,338.96 and 12,637.96

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Solution

The fourth proportional to 22,709.10, 31,338.96 and 12,637.96 is: 17,440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.10 : 31,338.96 = 12,637.96 : x
  2. Step 2: Convert to fraction form
    22,709.10/31,338.96 = 12,637.96/x
  3. Step 3: Cross multiply
    22,709.10x = 31,338.96 × 12,637.96
  4. Step 4: Simplify right side
    22,709.10x = 396,060,522.92
  5. Step 5: Solve for x
    x = 396,060,522.92/22,709.10
  6. Step 6: Final answer
    x = 17,440.61

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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.