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Finding the Fourth Proportional to 22,649.05, 31,255.97 and 12,578.12

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Solution

The fourth proportional to 22,649.05, 31,255.97 and 12,578.12 is: 17,357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.05 : 31,255.97 = 12,578.12 : x
  2. Step 2: Convert to fraction form
    22,649.05/31,255.97 = 12,578.12/x
  3. Step 3: Cross multiply
    22,649.05x = 31,255.97 × 12,578.12
  4. Step 4: Simplify right side
    22,649.05x = 393,141,341.38
  5. Step 5: Solve for x
    x = 393,141,341.38/22,649.05
  6. Step 6: Final answer
    x = 17,357.96

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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.