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Finding the Fourth Proportional to 21,593.44, 32,391.32 and 6,803.50

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Solution

The fourth proportional to 21,593.44, 32,391.32 and 6,803.50 is: 10,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,593.44 : 32,391.32 = 6,803.50 : x
  2. Step 2: Convert to fraction form
    21,593.44/32,391.32 = 6,803.50/x
  3. Step 3: Cross multiply
    21,593.44x = 32,391.32 × 6,803.50
  4. Step 4: Simplify right side
    21,593.44x = 220,374,345.62
  5. Step 5: Solve for x
    x = 220,374,345.62/21,593.44
  6. Step 6: Final answer
    x = 10,205.62

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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.