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Finding the Fourth Proportional to 23,519.76, 32,452.20 and 13,578

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Solution

The fourth proportional to 23,519.76, 32,452.20 and 13,578 is: 18,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,519.76 : 32,452.20 = 13,578 : x
  2. Step 2: Convert to fraction form
    23,519.76/32,452.20 = 13,578/x
  3. Step 3: Cross multiply
    23,519.76x = 32,452.20 × 13,578
  4. Step 4: Simplify right side
    23,519.76x = 440,635,971.60
  5. Step 5: Solve for x
    x = 440,635,971.60/23,519.76
  6. Step 6: Final answer
    x = 18,734.71

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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.