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Finding the Fourth Proportional to 11,022, 16,533 and 10,468.32

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Solution

The fourth proportional to 11,022, 16,533 and 10,468.32 is: 15,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022 : 16,533 = 10,468.32 : x
  2. Step 2: Convert to fraction form
    11,022/16,533 = 10,468.32/x
  3. Step 3: Cross multiply
    11,022x = 16,533 × 10,468.32
  4. Step 4: Simplify right side
    11,022x = 173,072,734.56
  5. Step 5: Solve for x
    x = 173,072,734.56/11,022
  6. Step 6: Final answer
    x = 15,702.48

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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.