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Finding the Fourth Proportional to 22,720.97, 31,354.32 and 12,649.41

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Solution

The fourth proportional to 22,720.97, 31,354.32 and 12,649.41 is: 17,455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,720.97 : 31,354.32 = 12,649.41 : x
  2. Step 2: Convert to fraction form
    22,720.97/31,354.32 = 12,649.41/x
  3. Step 3: Cross multiply
    22,720.97x = 31,354.32 × 12,649.41
  4. Step 4: Simplify right side
    22,720.97x = 396,613,647.66
  5. Step 5: Solve for x
    x = 396,613,647.66/22,720.97
  6. Step 6: Final answer
    x = 17,455.84

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