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Finding the Fourth Proportional to 13,633.25, 20,437.74 and 5,311.32

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Solution

The fourth proportional to 13,633.25, 20,437.74 and 5,311.32 is: 7,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.25 : 20,437.74 = 5,311.32 : x
  2. Step 2: Convert to fraction form
    13,633.25/20,437.74 = 5,311.32/x
  3. Step 3: Cross multiply
    13,633.25x = 20,437.74 × 5,311.32
  4. Step 4: Simplify right side
    13,633.25x = 108,551,377.22
  5. Step 5: Solve for x
    x = 108,551,377.22/13,633.25
  6. Step 6: Final answer
    x = 7,962.26

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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.