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Finding the Fourth Proportional to 13,189.48, 19,773.11 and 9,019.28

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Solution

The fourth proportional to 13,189.48, 19,773.11 and 9,019.28 is: 13,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.48 : 19,773.11 = 9,019.28 : x
  2. Step 2: Convert to fraction form
    13,189.48/19,773.11 = 9,019.28/x
  3. Step 3: Cross multiply
    13,189.48x = 19,773.11 × 9,019.28
  4. Step 4: Simplify right side
    13,189.48x = 178,339,287.54
  5. Step 5: Solve for x
    x = 178,339,287.54/13,189.48
  6. Step 6: Final answer
    x = 13,521.33

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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.