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Finding the Fourth Proportional to 22,524.99, 31,083.56 and 12,452.79

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Solution

The fourth proportional to 22,524.99, 31,083.56 and 12,452.79 is: 17,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.99 : 31,083.56 = 12,452.79 : x
  2. Step 2: Convert to fraction form
    22,524.99/31,083.56 = 12,452.79/x
  3. Step 3: Cross multiply
    22,524.99x = 31,083.56 × 12,452.79
  4. Step 4: Simplify right side
    22,524.99x = 387,076,920.85
  5. Step 5: Solve for x
    x = 387,076,920.85/22,524.99
  6. Step 6: Final answer
    x = 17,184.34

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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.