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Finding the Fourth Proportional to 16,241.87, 24,358.50 and 6,381.24

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Solution

The fourth proportional to 16,241.87, 24,358.50 and 6,381.24 is: 9,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.87 : 24,358.50 = 6,381.24 : x
  2. Step 2: Convert to fraction form
    16,241.87/24,358.50 = 6,381.24/x
  3. Step 3: Cross multiply
    16,241.87x = 24,358.50 × 6,381.24
  4. Step 4: Simplify right side
    16,241.87x = 155,437,343.20
  5. Step 5: Solve for x
    x = 155,437,343.20/16,241.87
  6. Step 6: Final answer
    x = 9,570.16

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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.