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Finding the Fourth Proportional to 13,488.11, 20,226.09 and 5,162.30

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Solution

The fourth proportional to 13,488.11, 20,226.09 and 5,162.30 is: 7,741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.11 : 20,226.09 = 5,162.30 : x
  2. Step 2: Convert to fraction form
    13,488.11/20,226.09 = 5,162.30/x
  3. Step 3: Cross multiply
    13,488.11x = 20,226.09 × 5,162.30
  4. Step 4: Simplify right side
    13,488.11x = 104,413,043.28
  5. Step 5: Solve for x
    x = 104,413,043.28/13,488.11
  6. Step 6: Final answer
    x = 7,741.12

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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.