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Finding the Fourth Proportional to 24,057.28, 36,085.11 and 8,474.50

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Solution

The fourth proportional to 24,057.28, 36,085.11 and 8,474.50 is: 12,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057.28 : 36,085.11 = 8,474.50 : x
  2. Step 2: Convert to fraction form
    24,057.28/36,085.11 = 8,474.50/x
  3. Step 3: Cross multiply
    24,057.28x = 36,085.11 × 8,474.50
  4. Step 4: Simplify right side
    24,057.28x = 305,803,264.70
  5. Step 5: Solve for x
    x = 305,803,264.70/24,057.28
  6. Step 6: Final answer
    x = 12,711.46

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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.