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Finding the Fourth Proportional to 24,571, 36,856.50 and 8,155

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Solution

The fourth proportional to 24,571, 36,856.50 and 8,155 is: 12,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,571 : 36,856.50 = 8,155 : x
  2. Step 2: Convert to fraction form
    24,571/36,856.50 = 8,155/x
  3. Step 3: Cross multiply
    24,571x = 36,856.50 × 8,155
  4. Step 4: Simplify right side
    24,571x = 300,564,757.50
  5. Step 5: Solve for x
    x = 300,564,757.50/24,571
  6. Step 6: Final answer
    x = 12,232.50

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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.