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Finding the Fourth Proportional to 22,894.98, 31,596.66 and 12,824.28

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Solution

The fourth proportional to 22,894.98, 31,596.66 and 12,824.28 is: 17,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.98 : 31,596.66 = 12,824.28 : x
  2. Step 2: Convert to fraction form
    22,894.98/31,596.66 = 12,824.28/x
  3. Step 3: Cross multiply
    22,894.98x = 31,596.66 × 12,824.28
  4. Step 4: Simplify right side
    22,894.98x = 405,204,414.90
  5. Step 5: Solve for x
    x = 405,204,414.90/22,894.98
  6. Step 6: Final answer
    x = 17,698.40

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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.