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Finding the Fourth Proportional to 23,221.87, 34,846.62 and 8,431.95

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Solution

The fourth proportional to 23,221.87, 34,846.62 and 8,431.95 is: 12,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221.87 : 34,846.62 = 8,431.95 : x
  2. Step 2: Convert to fraction form
    23,221.87/34,846.62 = 8,431.95/x
  3. Step 3: Cross multiply
    23,221.87x = 34,846.62 × 8,431.95
  4. Step 4: Simplify right side
    23,221.87x = 293,824,957.51
  5. Step 5: Solve for x
    x = 293,824,957.51/23,221.87
  6. Step 6: Final answer
    x = 12,652.94

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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.