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Finding the Fourth Proportional to 22,808.71, 34,216.58 and 8,014.33

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Solution

The fourth proportional to 22,808.71, 34,216.58 and 8,014.33 is: 12,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,808.71 : 34,216.58 = 8,014.33 : x
  2. Step 2: Convert to fraction form
    22,808.71/34,216.58 = 8,014.33/x
  3. Step 3: Cross multiply
    22,808.71x = 34,216.58 × 8,014.33
  4. Step 4: Simplify right side
    22,808.71x = 274,222,963.59
  5. Step 5: Solve for x
    x = 274,222,963.59/22,808.71
  6. Step 6: Final answer
    x = 12,022.73

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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.