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Finding the Fourth Proportional to 16,049.19, 24,075.22 and 4,202.94

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Solution

The fourth proportional to 16,049.19, 24,075.22 and 4,202.94 is: 6,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.19 : 24,075.22 = 4,202.94 : x
  2. Step 2: Convert to fraction form
    16,049.19/24,075.22 = 4,202.94/x
  3. Step 3: Cross multiply
    16,049.19x = 24,075.22 × 4,202.94
  4. Step 4: Simplify right side
    16,049.19x = 101,186,705.15
  5. Step 5: Solve for x
    x = 101,186,705.15/16,049.19
  6. Step 6: Final answer
    x = 6,304.79

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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.