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Finding the Fourth Proportional to 16,642.71, 24,946.31 and 8,306.31

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Solution

The fourth proportional to 16,642.71, 24,946.31 and 8,306.31 is: 12,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.71 : 24,946.31 = 8,306.31 : x
  2. Step 2: Convert to fraction form
    16,642.71/24,946.31 = 8,306.31/x
  3. Step 3: Cross multiply
    16,642.71x = 24,946.31 × 8,306.31
  4. Step 4: Simplify right side
    16,642.71x = 207,211,742.68
  5. Step 5: Solve for x
    x = 207,211,742.68/16,642.71
  6. Step 6: Final answer
    x = 12,450.60

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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.