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Finding the Fourth Proportional to 23,221.60, 34,822.32 and 8,425.60

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Solution

The fourth proportional to 23,221.60, 34,822.32 and 8,425.60 is: 12,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221.60 : 34,822.32 = 8,425.60 : x
  2. Step 2: Convert to fraction form
    23,221.60/34,822.32 = 8,425.60/x
  3. Step 3: Cross multiply
    23,221.60x = 34,822.32 × 8,425.60
  4. Step 4: Simplify right side
    23,221.60x = 293,398,939.39
  5. Step 5: Solve for x
    x = 293,398,939.39/23,221.60
  6. Step 6: Final answer
    x = 12,634.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.