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Finding the Fourth Proportional to 16,142.29, 24,214.12 and 5,049.19

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Solution

The fourth proportional to 16,142.29, 24,214.12 and 5,049.19 is: 7,574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.29 : 24,214.12 = 5,049.19 : x
  2. Step 2: Convert to fraction form
    16,142.29/24,214.12 = 5,049.19/x
  3. Step 3: Cross multiply
    16,142.29x = 24,214.12 × 5,049.19
  4. Step 4: Simplify right side
    16,142.29x = 122,261,692.56
  5. Step 5: Solve for x
    x = 122,261,692.56/16,142.29
  6. Step 6: Final answer
    x = 7,574.00

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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.