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Finding the Fourth Proportional to 13,775.26, 20,647.05 and 6,364.15

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Solution

The fourth proportional to 13,775.26, 20,647.05 and 6,364.15 is: 9,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.26 : 20,647.05 = 6,364.15 : x
  2. Step 2: Convert to fraction form
    13,775.26/20,647.05 = 6,364.15/x
  3. Step 3: Cross multiply
    13,775.26x = 20,647.05 × 6,364.15
  4. Step 4: Simplify right side
    13,775.26x = 131,400,923.26
  5. Step 5: Solve for x
    x = 131,400,923.26/13,775.26
  6. Step 6: Final answer
    x = 9,538.91

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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.