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Finding the Fourth Proportional to 13,442.16, 20,163.21 and 5,549.13

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Solution

The fourth proportional to 13,442.16, 20,163.21 and 5,549.13 is: 8,323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.16 : 20,163.21 = 5,549.13 : x
  2. Step 2: Convert to fraction form
    13,442.16/20,163.21 = 5,549.13/x
  3. Step 3: Cross multiply
    13,442.16x = 20,163.21 × 5,549.13
  4. Step 4: Simplify right side
    13,442.16x = 111,888,273.51
  5. Step 5: Solve for x
    x = 111,888,273.51/13,442.16
  6. Step 6: Final answer
    x = 8,323.68

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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.