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Finding the Fourth Proportional to 24,147, 36,223.88 and 22,819

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Solution

The fourth proportional to 24,147, 36,223.88 and 22,819 is: 34,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147 : 36,223.88 = 22,819 : x
  2. Step 2: Convert to fraction form
    24,147/36,223.88 = 22,819/x
  3. Step 3: Cross multiply
    24,147x = 36,223.88 × 22,819
  4. Step 4: Simplify right side
    24,147x = 826,592,717.72
  5. Step 5: Solve for x
    x = 826,592,717.72/24,147
  6. Step 6: Final answer
    x = 34,231.69

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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.