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Finding the Fourth Proportional to 16,326.50, 24,466.66 and 6,957.09

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Solution

The fourth proportional to 16,326.50, 24,466.66 and 6,957.09 is: 10,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,326.50 : 24,466.66 = 6,957.09 : x
  2. Step 2: Convert to fraction form
    16,326.50/24,466.66 = 6,957.09/x
  3. Step 3: Cross multiply
    16,326.50x = 24,466.66 × 6,957.09
  4. Step 4: Simplify right side
    16,326.50x = 170,216,738.23
  5. Step 5: Solve for x
    x = 170,216,738.23/16,326.50
  6. Step 6: Final answer
    x = 10,425.80

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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.