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Finding the Fourth Proportional to 24,344.44, 36,518.82 and 6,814.42

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Solution

The fourth proportional to 24,344.44, 36,518.82 and 6,814.42 is: 10,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,344.44 : 36,518.82 = 6,814.42 : x
  2. Step 2: Convert to fraction form
    24,344.44/36,518.82 = 6,814.42/x
  3. Step 3: Cross multiply
    24,344.44x = 36,518.82 × 6,814.42
  4. Step 4: Simplify right side
    24,344.44x = 248,854,577.38
  5. Step 5: Solve for x
    x = 248,854,577.38/24,344.44
  6. Step 6: Final answer
    x = 10,222.23

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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.