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Finding the Fourth Proportional to 13,502.50, 20,251.87 and 3,642.37

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Solution

The fourth proportional to 13,502.50, 20,251.87 and 3,642.37 is: 5,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.50 : 20,251.87 = 3,642.37 : x
  2. Step 2: Convert to fraction form
    13,502.50/20,251.87 = 3,642.37/x
  3. Step 3: Cross multiply
    13,502.50x = 20,251.87 × 3,642.37
  4. Step 4: Simplify right side
    13,502.50x = 73,764,803.73
  5. Step 5: Solve for x
    x = 73,764,803.73/13,502.50
  6. Step 6: Final answer
    x = 5,463.05

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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.