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Finding the Fourth Proportional to 23,514.92, 35,272 and 9,474.61

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Solution

The fourth proportional to 23,514.92, 35,272 and 9,474.61 is: 14,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.92 : 35,272 = 9,474.61 : x
  2. Step 2: Convert to fraction form
    23,514.92/35,272 = 9,474.61/x
  3. Step 3: Cross multiply
    23,514.92x = 35,272 × 9,474.61
  4. Step 4: Simplify right side
    23,514.92x = 334,188,443.92
  5. Step 5: Solve for x
    x = 334,188,443.92/23,514.92
  6. Step 6: Final answer
    x = 14,211.76

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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.