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Finding the Fourth Proportional to 24,311.50, 33,549.87 and 13,133.50

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Solution

The fourth proportional to 24,311.50, 33,549.87 and 13,133.50 is: 18,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.50 : 33,549.87 = 13,133.50 : x
  2. Step 2: Convert to fraction form
    24,311.50/33,549.87 = 13,133.50/x
  3. Step 3: Cross multiply
    24,311.50x = 33,549.87 × 13,133.50
  4. Step 4: Simplify right side
    24,311.50x = 440,627,217.65
  5. Step 5: Solve for x
    x = 440,627,217.65/24,311.50
  6. Step 6: Final answer
    x = 18,124.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.