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Finding the Fourth Proportional to 15,023.05, 22,535.09 and 5,162.24

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Solution

The fourth proportional to 15,023.05, 22,535.09 and 5,162.24 is: 7,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,023.05 : 22,535.09 = 5,162.24 : x
  2. Step 2: Convert to fraction form
    15,023.05/22,535.09 = 5,162.24/x
  3. Step 3: Cross multiply
    15,023.05x = 22,535.09 × 5,162.24
  4. Step 4: Simplify right side
    15,023.05x = 116,331,517.19
  5. Step 5: Solve for x
    x = 116,331,517.19/15,023.05
  6. Step 6: Final answer
    x = 7,743.54

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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.