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Finding the Fourth Proportional to 23,881.70, 32,951.26 and 14,815.22

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Solution

The fourth proportional to 23,881.70, 32,951.26 and 14,815.22 is: 20,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,881.70 : 32,951.26 = 14,815.22 : x
  2. Step 2: Convert to fraction form
    23,881.70/32,951.26 = 14,815.22/x
  3. Step 3: Cross multiply
    23,881.70x = 32,951.26 × 14,815.22
  4. Step 4: Simplify right side
    23,881.70x = 488,179,982.94
  5. Step 5: Solve for x
    x = 488,179,982.94/23,881.70
  6. Step 6: Final answer
    x = 20,441.59

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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.