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Finding the Fourth Proportional to 24,911.39, 37,369.23 and 7,142.12

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Solution

The fourth proportional to 24,911.39, 37,369.23 and 7,142.12 is: 10,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,911.39 : 37,369.23 = 7,142.12 : x
  2. Step 2: Convert to fraction form
    24,911.39/37,369.23 = 7,142.12/x
  3. Step 3: Cross multiply
    24,911.39x = 37,369.23 × 7,142.12
  4. Step 4: Simplify right side
    24,911.39x = 266,895,524.97
  5. Step 5: Solve for x
    x = 266,895,524.97/24,911.39
  6. Step 6: Final answer
    x = 10,713.79

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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.