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Finding the Fourth Proportional to 16,043.38, 24,075.09 and 7,724.27

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Solution

The fourth proportional to 16,043.38, 24,075.09 and 7,724.27 is: 11,591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.38 : 24,075.09 = 7,724.27 : x
  2. Step 2: Convert to fraction form
    16,043.38/24,075.09 = 7,724.27/x
  3. Step 3: Cross multiply
    16,043.38x = 24,075.09 × 7,724.27
  4. Step 4: Simplify right side
    16,043.38x = 185,962,495.43
  5. Step 5: Solve for x
    x = 185,962,495.43/16,043.38
  6. Step 6: Final answer
    x = 11,591.23

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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.