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Finding the Fourth Proportional to 16,069.94, 24,120.49 and 7,755.81

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Solution

The fourth proportional to 16,069.94, 24,120.49 and 7,755.81 is: 11,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069.94 : 24,120.49 = 7,755.81 : x
  2. Step 2: Convert to fraction form
    16,069.94/24,120.49 = 7,755.81/x
  3. Step 3: Cross multiply
    16,069.94x = 24,120.49 × 7,755.81
  4. Step 4: Simplify right side
    16,069.94x = 187,073,937.55
  5. Step 5: Solve for x
    x = 187,073,937.55/16,069.94
  6. Step 6: Final answer
    x = 11,641.23

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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.