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Finding the Fourth Proportional to 13,049.86, 19,576.83 and 4,282.78

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Solution

The fourth proportional to 13,049.86, 19,576.83 and 4,282.78 is: 6,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.86 : 19,576.83 = 4,282.78 : x
  2. Step 2: Convert to fraction form
    13,049.86/19,576.83 = 4,282.78/x
  3. Step 3: Cross multiply
    13,049.86x = 19,576.83 × 4,282.78
  4. Step 4: Simplify right side
    13,049.86x = 83,843,255.99
  5. Step 5: Solve for x
    x = 83,843,255.99/13,049.86
  6. Step 6: Final answer
    x = 6,424.84

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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.