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Finding the Fourth Proportional to 23,658.96, 32,634.96 and 14,092.56

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Solution

The fourth proportional to 23,658.96, 32,634.96 and 14,092.56 is: 19,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.96 : 32,634.96 = 14,092.56 : x
  2. Step 2: Convert to fraction form
    23,658.96/32,634.96 = 14,092.56/x
  3. Step 3: Cross multiply
    23,658.96x = 32,634.96 × 14,092.56
  4. Step 4: Simplify right side
    23,658.96x = 459,910,131.90
  5. Step 5: Solve for x
    x = 459,910,131.90/23,658.96
  6. Step 6: Final answer
    x = 19,439.15

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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.