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Finding the Fourth Proportional to 24,711.84, 37,067.22 and 7,180.92

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Solution

The fourth proportional to 24,711.84, 37,067.22 and 7,180.92 is: 10,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.84 : 37,067.22 = 7,180.92 : x
  2. Step 2: Convert to fraction form
    24,711.84/37,067.22 = 7,180.92/x
  3. Step 3: Cross multiply
    24,711.84x = 37,067.22 × 7,180.92
  4. Step 4: Simplify right side
    24,711.84x = 266,176,741.44
  5. Step 5: Solve for x
    x = 266,176,741.44/24,711.84
  6. Step 6: Final answer
    x = 10,771.22

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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.