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Finding the Fourth Proportional to 24,063.24, 36,095.94 and 8,481

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Solution

The fourth proportional to 24,063.24, 36,095.94 and 8,481 is: 12,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,063.24 : 36,095.94 = 8,481 : x
  2. Step 2: Convert to fraction form
    24,063.24/36,095.94 = 8,481/x
  3. Step 3: Cross multiply
    24,063.24x = 36,095.94 × 8,481
  4. Step 4: Simplify right side
    24,063.24x = 306,129,667.14
  5. Step 5: Solve for x
    x = 306,129,667.14/24,063.24
  6. Step 6: Final answer
    x = 12,721.88

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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.