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Finding the Fourth Proportional to 22,433.82, 33,613.53 and 13,642.14

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Solution

The fourth proportional to 22,433.82, 33,613.53 and 13,642.14 is: 20,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.82 : 33,613.53 = 13,642.14 : x
  2. Step 2: Convert to fraction form
    22,433.82/33,613.53 = 13,642.14/x
  3. Step 3: Cross multiply
    22,433.82x = 33,613.53 × 13,642.14
  4. Step 4: Simplify right side
    22,433.82x = 458,560,482.15
  5. Step 5: Solve for x
    x = 458,560,482.15/22,433.82
  6. Step 6: Final answer
    x = 20,440.59

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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.