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Finding the Fourth Proportional to 12,234.01, 18,349.09 and 10,167.30

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Solution

The fourth proportional to 12,234.01, 18,349.09 and 10,167.30 is: 15,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.01 : 18,349.09 = 10,167.30 : x
  2. Step 2: Convert to fraction form
    12,234.01/18,349.09 = 10,167.30/x
  3. Step 3: Cross multiply
    12,234.01x = 18,349.09 × 10,167.30
  4. Step 4: Simplify right side
    12,234.01x = 186,560,702.76
  5. Step 5: Solve for x
    x = 186,560,702.76/12,234.01
  6. Step 6: Final answer
    x = 15,249.35

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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.