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Finding the Fourth Proportional to 24,171, 36,256.50 and 8,589.24

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Solution

The fourth proportional to 24,171, 36,256.50 and 8,589.24 is: 12,883.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,171 : 36,256.50 = 8,589.24 : x
  2. Step 2: Convert to fraction form
    24,171/36,256.50 = 8,589.24/x
  3. Step 3: Cross multiply
    24,171x = 36,256.50 × 8,589.24
  4. Step 4: Simplify right side
    24,171x = 311,415,780.06
  5. Step 5: Solve for x
    x = 311,415,780.06/24,171
  6. Step 6: Final answer
    x = 12,883.86

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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.