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Finding the Fourth Proportional to 22,821.26, 31,494.96 and 13,264.20

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Solution

The fourth proportional to 22,821.26, 31,494.96 and 13,264.20 is: 18,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,821.26 : 31,494.96 = 13,264.20 : x
  2. Step 2: Convert to fraction form
    22,821.26/31,494.96 = 13,264.20/x
  3. Step 3: Cross multiply
    22,821.26x = 31,494.96 × 13,264.20
  4. Step 4: Simplify right side
    22,821.26x = 417,755,448.43
  5. Step 5: Solve for x
    x = 417,755,448.43/22,821.26
  6. Step 6: Final answer
    x = 18,305.54

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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.