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Finding the Fourth Proportional to 21,456, 32,195.52 and 10,512

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Solution

The fourth proportional to 21,456, 32,195.52 and 10,512 is: 15,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456 : 32,195.52 = 10,512 : x
  2. Step 2: Convert to fraction form
    21,456/32,195.52 = 10,512/x
  3. Step 3: Cross multiply
    21,456x = 32,195.52 × 10,512
  4. Step 4: Simplify right side
    21,456x = 338,439,306.24
  5. Step 5: Solve for x
    x = 338,439,306.24/21,456
  6. Step 6: Final answer
    x = 15,773.64

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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.