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Finding the Fourth Proportional to 21,175.78, 31,765.02 and 5,593

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Solution

The fourth proportional to 21,175.78, 31,765.02 and 5,593 is: 8,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.78 : 31,765.02 = 5,593 : x
  2. Step 2: Convert to fraction form
    21,175.78/31,765.02 = 5,593/x
  3. Step 3: Cross multiply
    21,175.78x = 31,765.02 × 5,593
  4. Step 4: Simplify right side
    21,175.78x = 177,661,756.86
  5. Step 5: Solve for x
    x = 177,661,756.86/21,175.78
  6. Step 6: Final answer
    x = 8,389.86

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