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Finding the Fourth Proportional to 21,082.78, 31,593.78 and 16,063.60

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Solution

The fourth proportional to 21,082.78, 31,593.78 and 16,063.60 is: 24,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082.78 : 31,593.78 = 16,063.60 : x
  2. Step 2: Convert to fraction form
    21,082.78/31,593.78 = 16,063.60/x
  3. Step 3: Cross multiply
    21,082.78x = 31,593.78 × 16,063.60
  4. Step 4: Simplify right side
    21,082.78x = 507,509,844.41
  5. Step 5: Solve for x
    x = 507,509,844.41/21,082.78
  6. Step 6: Final answer
    x = 24,072.24

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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.