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Finding the Fourth Proportional to 22,634.58, 31,234.64 and 12,562.90

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Solution

The fourth proportional to 22,634.58, 31,234.64 and 12,562.90 is: 17,336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634.58 : 31,234.64 = 12,562.90 : x
  2. Step 2: Convert to fraction form
    22,634.58/31,234.64 = 12,562.90/x
  3. Step 3: Cross multiply
    22,634.58x = 31,234.64 × 12,562.90
  4. Step 4: Simplify right side
    22,634.58x = 392,397,658.86
  5. Step 5: Solve for x
    x = 392,397,658.86/22,634.58
  6. Step 6: Final answer
    x = 17,336.20

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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.