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Finding the Fourth Proportional to 24,002, 36,008.76 and 7,586

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Solution

The fourth proportional to 24,002, 36,008.76 and 7,586 is: 11,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,002 : 36,008.76 = 7,586 : x
  2. Step 2: Convert to fraction form
    24,002/36,008.76 = 7,586/x
  3. Step 3: Cross multiply
    24,002x = 36,008.76 × 7,586
  4. Step 4: Simplify right side
    24,002x = 273,162,453.36
  5. Step 5: Solve for x
    x = 273,162,453.36/24,002
  6. Step 6: Final answer
    x = 11,380.82

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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.