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Finding the Fourth Proportional to 13,013.87, 19,524.44 and 5,228.15

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Solution

The fourth proportional to 13,013.87, 19,524.44 and 5,228.15 is: 7,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.87 : 19,524.44 = 5,228.15 : x
  2. Step 2: Convert to fraction form
    13,013.87/19,524.44 = 5,228.15/x
  3. Step 3: Cross multiply
    13,013.87x = 19,524.44 × 5,228.15
  4. Step 4: Simplify right side
    13,013.87x = 102,076,616.43
  5. Step 5: Solve for x
    x = 102,076,616.43/13,013.87
  6. Step 6: Final answer
    x = 7,843.68

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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.