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Finding the Fourth Proportional to 22,579.38, 31,219 and 19,776.84

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Solution

The fourth proportional to 22,579.38, 31,219 and 19,776.84 is: 27,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,579.38 : 31,219 = 19,776.84 : x
  2. Step 2: Convert to fraction form
    22,579.38/31,219 = 19,776.84/x
  3. Step 3: Cross multiply
    22,579.38x = 31,219 × 19,776.84
  4. Step 4: Simplify right side
    22,579.38x = 617,413,167.96
  5. Step 5: Solve for x
    x = 617,413,167.96/22,579.38
  6. Step 6: Final answer
    x = 27,344.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.