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Finding the Fourth Proportional to 13,775.09, 20,651.13 and 6,384.83

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Solution

The fourth proportional to 13,775.09, 20,651.13 and 6,384.83 is: 9,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.09 : 20,651.13 = 6,384.83 : x
  2. Step 2: Convert to fraction form
    13,775.09/20,651.13 = 6,384.83/x
  3. Step 3: Cross multiply
    13,775.09x = 20,651.13 × 6,384.83
  4. Step 4: Simplify right side
    13,775.09x = 131,853,851.10
  5. Step 5: Solve for x
    x = 131,853,851.10/13,775.09
  6. Step 6: Final answer
    x = 9,571.91

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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.