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Finding the Fourth Proportional to 13,220.10, 19,815.02 and 5,419.26

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Solution

The fourth proportional to 13,220.10, 19,815.02 and 5,419.26 is: 8,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.10 : 19,815.02 = 5,419.26 : x
  2. Step 2: Convert to fraction form
    13,220.10/19,815.02 = 5,419.26/x
  3. Step 3: Cross multiply
    13,220.10x = 19,815.02 × 5,419.26
  4. Step 4: Simplify right side
    13,220.10x = 107,382,745.29
  5. Step 5: Solve for x
    x = 107,382,745.29/13,220.10
  6. Step 6: Final answer
    x = 8,122.69

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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.