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Finding the Fourth Proportional to 23,869.96, 32,938.98 and 14,917

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Solution

The fourth proportional to 23,869.96, 32,938.98 and 14,917 is: 20,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,869.96 : 32,938.98 = 14,917 : x
  2. Step 2: Convert to fraction form
    23,869.96/32,938.98 = 14,917/x
  3. Step 3: Cross multiply
    23,869.96x = 32,938.98 × 14,917
  4. Step 4: Simplify right side
    23,869.96x = 491,350,764.66
  5. Step 5: Solve for x
    x = 491,350,764.66/23,869.96
  6. Step 6: Final answer
    x = 20,584.48

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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.