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Finding the Fourth Proportional to 13,797.32, 20,681.57 and 6,395.67

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Solution

The fourth proportional to 13,797.32, 20,681.57 and 6,395.67 is: 9,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.32 : 20,681.57 = 6,395.67 : x
  2. Step 2: Convert to fraction form
    13,797.32/20,681.57 = 6,395.67/x
  3. Step 3: Cross multiply
    13,797.32x = 20,681.57 × 6,395.67
  4. Step 4: Simplify right side
    13,797.32x = 132,272,464.82
  5. Step 5: Solve for x
    x = 132,272,464.82/13,797.32
  6. Step 6: Final answer
    x = 9,586.83

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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.