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Finding the Fourth Proportional to 23,604.60, 32,568.46 and 15,211

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Solution

The fourth proportional to 23,604.60, 32,568.46 and 15,211 is: 20,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,604.60 : 32,568.46 = 15,211 : x
  2. Step 2: Convert to fraction form
    23,604.60/32,568.46 = 15,211/x
  3. Step 3: Cross multiply
    23,604.60x = 32,568.46 × 15,211
  4. Step 4: Simplify right side
    23,604.60x = 495,398,845.06
  5. Step 5: Solve for x
    x = 495,398,845.06/23,604.60
  6. Step 6: Final answer
    x = 20,987.39

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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.