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Finding the Fourth Proportional to 22,741.26, 34,116.42 and 9,593.58

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Solution

The fourth proportional to 22,741.26, 34,116.42 and 9,593.58 is: 14,392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,741.26 : 34,116.42 = 9,593.58 : x
  2. Step 2: Convert to fraction form
    22,741.26/34,116.42 = 9,593.58/x
  3. Step 3: Cross multiply
    22,741.26x = 34,116.42 × 9,593.58
  4. Step 4: Simplify right side
    22,741.26x = 327,298,604.58
  5. Step 5: Solve for x
    x = 327,298,604.58/22,741.26
  6. Step 6: Final answer
    x = 14,392.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.