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Finding the Fourth Proportional to 22,618.54, 31,217.32 and 12,550.22

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Solution

The fourth proportional to 22,618.54, 31,217.32 and 12,550.22 is: 17,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,618.54 : 31,217.32 = 12,550.22 : x
  2. Step 2: Convert to fraction form
    22,618.54/31,217.32 = 12,550.22/x
  3. Step 3: Cross multiply
    22,618.54x = 31,217.32 × 12,550.22
  4. Step 4: Simplify right side
    22,618.54x = 391,784,233.81
  5. Step 5: Solve for x
    x = 391,784,233.81/22,618.54
  6. Step 6: Final answer
    x = 17,321.38

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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.