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Finding the Fourth Proportional to 24,813.50, 34,242.72 and 13,635.50

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Solution

The fourth proportional to 24,813.50, 34,242.72 and 13,635.50 is: 18,817.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813.50 : 34,242.72 = 13,635.50 : x
  2. Step 2: Convert to fraction form
    24,813.50/34,242.72 = 13,635.50/x
  3. Step 3: Cross multiply
    24,813.50x = 34,242.72 × 13,635.50
  4. Step 4: Simplify right side
    24,813.50x = 466,916,608.56
  5. Step 5: Solve for x
    x = 466,916,608.56/24,813.50
  6. Step 6: Final answer
    x = 18,817.04

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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.