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Finding the Fourth Proportional to 21,375.32, 32,035.03 and 11,493.32

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Solution

The fourth proportional to 21,375.32, 32,035.03 and 11,493.32 is: 17,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,375.32 : 32,035.03 = 11,493.32 : x
  2. Step 2: Convert to fraction form
    21,375.32/32,035.03 = 11,493.32/x
  3. Step 3: Cross multiply
    21,375.32x = 32,035.03 × 11,493.32
  4. Step 4: Simplify right side
    21,375.32x = 368,188,902.35
  5. Step 5: Solve for x
    x = 368,188,902.35/21,375.32
  6. Step 6: Final answer
    x = 17,224.95

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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.