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Finding the Fourth Proportional to 15,621.84, 23,436 and 8,222.22

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Solution

The fourth proportional to 15,621.84, 23,436 and 8,222.22 is: 12,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,621.84 : 23,436 = 8,222.22 : x
  2. Step 2: Convert to fraction form
    15,621.84/23,436 = 8,222.22/x
  3. Step 3: Cross multiply
    15,621.84x = 23,436 × 8,222.22
  4. Step 4: Simplify right side
    15,621.84x = 192,695,947.92
  5. Step 5: Solve for x
    x = 192,695,947.92/15,621.84
  6. Step 6: Final answer
    x = 12,335.04

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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.