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Finding the Fourth Proportional to 23,761.96, 35,630.94 and 13,904.20

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Solution

The fourth proportional to 23,761.96, 35,630.94 and 13,904.20 is: 20,849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,761.96 : 35,630.94 = 13,904.20 : x
  2. Step 2: Convert to fraction form
    23,761.96/35,630.94 = 13,904.20/x
  3. Step 3: Cross multiply
    23,761.96x = 35,630.94 × 13,904.20
  4. Step 4: Simplify right side
    23,761.96x = 495,419,715.95
  5. Step 5: Solve for x
    x = 495,419,715.95/23,761.96
  6. Step 6: Final answer
    x = 20,849.28

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1.5x scale

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.