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Finding the Fourth Proportional to 16,166, 24,250.08 and 6,932

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Solution

The fourth proportional to 16,166, 24,250.08 and 6,932 is: 10,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166 : 24,250.08 = 6,932 : x
  2. Step 2: Convert to fraction form
    16,166/24,250.08 = 6,932/x
  3. Step 3: Cross multiply
    16,166x = 24,250.08 × 6,932
  4. Step 4: Simplify right side
    16,166x = 168,101,554.56
  5. Step 5: Solve for x
    x = 168,101,554.56/16,166
  6. Step 6: Final answer
    x = 10,398.46

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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.