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Finding the Fourth Proportional to 23,193.24, 34,789.88 and 9,339

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Solution

The fourth proportional to 23,193.24, 34,789.88 and 9,339 is: 14,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.24 : 34,789.88 = 9,339 : x
  2. Step 2: Convert to fraction form
    23,193.24/34,789.88 = 9,339/x
  3. Step 3: Cross multiply
    23,193.24x = 34,789.88 × 9,339
  4. Step 4: Simplify right side
    23,193.24x = 324,902,689.32
  5. Step 5: Solve for x
    x = 324,902,689.32/23,193.24
  6. Step 6: Final answer
    x = 14,008.51

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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.