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Finding the Fourth Proportional to 16,555.34, 24,833.10 and 6,167

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Solution

The fourth proportional to 16,555.34, 24,833.10 and 6,167 is: 9,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,555.34 : 24,833.10 = 6,167 : x
  2. Step 2: Convert to fraction form
    16,555.34/24,833.10 = 6,167/x
  3. Step 3: Cross multiply
    16,555.34x = 24,833.10 × 6,167
  4. Step 4: Simplify right side
    16,555.34x = 153,145,727.70
  5. Step 5: Solve for x
    x = 153,145,727.70/16,555.34
  6. Step 6: Final answer
    x = 9,250.53

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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.