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Finding the Fourth Proportional to 16,461.80, 24,700.20 and 6,976.71

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Solution

The fourth proportional to 16,461.80, 24,700.20 and 6,976.71 is: 10,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.80 : 24,700.20 = 6,976.71 : x
  2. Step 2: Convert to fraction form
    16,461.80/24,700.20 = 6,976.71/x
  3. Step 3: Cross multiply
    16,461.80x = 24,700.20 × 6,976.71
  4. Step 4: Simplify right side
    16,461.80x = 172,326,198.81
  5. Step 5: Solve for x
    x = 172,326,198.81/16,461.80
  6. Step 6: Final answer
    x = 10,468.25

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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.