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Finding the Fourth Proportional to 16,382.84, 24,554.82 and 8,990.78

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Solution

The fourth proportional to 16,382.84, 24,554.82 and 8,990.78 is: 13,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.84 : 24,554.82 = 8,990.78 : x
  2. Step 2: Convert to fraction form
    16,382.84/24,554.82 = 8,990.78/x
  3. Step 3: Cross multiply
    16,382.84x = 24,554.82 × 8,990.78
  4. Step 4: Simplify right side
    16,382.84x = 220,766,984.56
  5. Step 5: Solve for x
    x = 220,766,984.56/16,382.84
  6. Step 6: Final answer
    x = 13,475.50

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Why These Related Problems?

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