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Finding the Fourth Proportional to 21,481.66, 32,195.98 and 15,578.88

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Solution

The fourth proportional to 21,481.66, 32,195.98 and 15,578.88 is: 23,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,481.66 : 32,195.98 = 15,578.88 : x
  2. Step 2: Convert to fraction form
    21,481.66/32,195.98 = 15,578.88/x
  3. Step 3: Cross multiply
    21,481.66x = 32,195.98 × 15,578.88
  4. Step 4: Simplify right side
    21,481.66x = 501,577,388.74
  5. Step 5: Solve for x
    x = 501,577,388.74/21,481.66
  6. Step 6: Final answer
    x = 23,349.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.