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Finding the Fourth Proportional to 23,216.22, 34,824.26 and 8,425.12

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Solution

The fourth proportional to 23,216.22, 34,824.26 and 8,425.12 is: 12,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216.22 : 34,824.26 = 8,425.12 : x
  2. Step 2: Convert to fraction form
    23,216.22/34,824.26 = 8,425.12/x
  3. Step 3: Cross multiply
    23,216.22x = 34,824.26 × 8,425.12
  4. Step 4: Simplify right side
    23,216.22x = 293,398,569.41
  5. Step 5: Solve for x
    x = 293,398,569.41/23,216.22
  6. Step 6: Final answer
    x = 12,637.65

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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.