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Finding the Fourth Proportional to 15,138.19, 22,716.80 and 8,028.82

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Solution

The fourth proportional to 15,138.19, 22,716.80 and 8,028.82 is: 12,048.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.19 : 22,716.80 = 8,028.82 : x
  2. Step 2: Convert to fraction form
    15,138.19/22,716.80 = 8,028.82/x
  3. Step 3: Cross multiply
    15,138.19x = 22,716.80 × 8,028.82
  4. Step 4: Simplify right side
    15,138.19x = 182,388,944.45
  5. Step 5: Solve for x
    x = 182,388,944.45/15,138.19
  6. Step 6: Final answer
    x = 12,048.27

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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.