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Finding the Fourth Proportional to 22,634.65, 31,234.34 and 12,562.61

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Solution

The fourth proportional to 22,634.65, 31,234.34 and 12,562.61 is: 17,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.65 : 31,234.34 = 12,562.61 : x
  2. Step 2: Convert to fraction form
    22,634.65/31,234.34 = 12,562.61/x
  3. Step 3: Cross multiply
    22,634.65x = 31,234.34 × 12,562.61
  4. Step 4: Simplify right side
    22,634.65x = 392,384,707.26
  5. Step 5: Solve for x
    x = 392,384,707.26/22,634.65
  6. Step 6: Final answer
    x = 17,335.58

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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.