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Finding the Fourth Proportional to 21,049.09, 31,578.83 and 6,257.94

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Solution

The fourth proportional to 21,049.09, 31,578.83 and 6,257.94 is: 9,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,049.09 : 31,578.83 = 6,257.94 : x
  2. Step 2: Convert to fraction form
    21,049.09/31,578.83 = 6,257.94/x
  3. Step 3: Cross multiply
    21,049.09x = 31,578.83 × 6,257.94
  4. Step 4: Simplify right side
    21,049.09x = 197,618,423.41
  5. Step 5: Solve for x
    x = 197,618,423.41/21,049.09
  6. Step 6: Final answer
    x = 9,388.45

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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.