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Finding the Fourth Proportional to 16,821.20, 25,206.06 and 8,477.90

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Solution

The fourth proportional to 16,821.20, 25,206.06 and 8,477.90 is: 12,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.20 : 25,206.06 = 8,477.90 : x
  2. Step 2: Convert to fraction form
    16,821.20/25,206.06 = 8,477.90/x
  3. Step 3: Cross multiply
    16,821.20x = 25,206.06 × 8,477.90
  4. Step 4: Simplify right side
    16,821.20x = 213,694,456.07
  5. Step 5: Solve for x
    x = 213,694,456.07/16,821.20
  6. Step 6: Final answer
    x = 12,703.88

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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.