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Finding the Fourth Proportional to 22,884, 34,321.95 and 10,401.09

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Solution

The fourth proportional to 22,884, 34,321.95 and 10,401.09 is: 15,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884 : 34,321.95 = 10,401.09 : x
  2. Step 2: Convert to fraction form
    22,884/34,321.95 = 10,401.09/x
  3. Step 3: Cross multiply
    22,884x = 34,321.95 × 10,401.09
  4. Step 4: Simplify right side
    22,884x = 356,985,690.93
  5. Step 5: Solve for x
    x = 356,985,690.93/22,884
  6. Step 6: Final answer
    x = 15,599.79

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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.