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Finding the Fourth Proportional to 16,420.90, 24,633.06 and 5,327.14

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Solution

The fourth proportional to 16,420.90, 24,633.06 and 5,327.14 is: 7,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.90 : 24,633.06 = 5,327.14 : x
  2. Step 2: Convert to fraction form
    16,420.90/24,633.06 = 5,327.14/x
  3. Step 3: Cross multiply
    16,420.90x = 24,633.06 × 5,327.14
  4. Step 4: Simplify right side
    16,420.90x = 131,223,759.25
  5. Step 5: Solve for x
    x = 131,223,759.25/16,420.90
  6. Step 6: Final answer
    x = 7,991.26

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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.