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Finding the Fourth Proportional to 23,672.70, 32,680.17 and 14,723.09

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Solution

The fourth proportional to 23,672.70, 32,680.17 and 14,723.09 is: 20,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672.70 : 32,680.17 = 14,723.09 : x
  2. Step 2: Convert to fraction form
    23,672.70/32,680.17 = 14,723.09/x
  3. Step 3: Cross multiply
    23,672.70x = 32,680.17 × 14,723.09
  4. Step 4: Simplify right side
    23,672.70x = 481,153,084.13
  5. Step 5: Solve for x
    x = 481,153,084.13/23,672.70
  6. Step 6: Final answer
    x = 20,325.23

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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.