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Finding the Fourth Proportional to 13,427.66, 20,122.04 and 7,571.82

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Solution

The fourth proportional to 13,427.66, 20,122.04 and 7,571.82 is: 11,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.66 : 20,122.04 = 7,571.82 : x
  2. Step 2: Convert to fraction form
    13,427.66/20,122.04 = 7,571.82/x
  3. Step 3: Cross multiply
    13,427.66x = 20,122.04 × 7,571.82
  4. Step 4: Simplify right side
    13,427.66x = 152,360,464.91
  5. Step 5: Solve for x
    x = 152,360,464.91/13,427.66
  6. Step 6: Final answer
    x = 11,346.76

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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.