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Finding the Fourth Proportional to 23,561.62, 32,522.62 and 15,086.57

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Solution

The fourth proportional to 23,561.62, 32,522.62 and 15,086.57 is: 20,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,561.62 : 32,522.62 = 15,086.57 : x
  2. Step 2: Convert to fraction form
    23,561.62/32,522.62 = 15,086.57/x
  3. Step 3: Cross multiply
    23,561.62x = 32,522.62 × 15,086.57
  4. Step 4: Simplify right side
    23,561.62x = 490,654,783.21
  5. Step 5: Solve for x
    x = 490,654,783.21/23,561.62
  6. Step 6: Final answer
    x = 20,824.32

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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.