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Finding the Fourth Proportional to 24,872.49, 37,310.19 and 7,101.78

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Solution

The fourth proportional to 24,872.49, 37,310.19 and 7,101.78 is: 10,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.49 : 37,310.19 = 7,101.78 : x
  2. Step 2: Convert to fraction form
    24,872.49/37,310.19 = 7,101.78/x
  3. Step 3: Cross multiply
    24,872.49x = 37,310.19 × 7,101.78
  4. Step 4: Simplify right side
    24,872.49x = 264,968,761.14
  5. Step 5: Solve for x
    x = 264,968,761.14/24,872.49
  6. Step 6: Final answer
    x = 10,653.09

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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.