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Finding the Fourth Proportional to 16,180.65, 24,274.44 and 9,163.98

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Solution

The fourth proportional to 16,180.65, 24,274.44 and 9,163.98 is: 13,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.65 : 24,274.44 = 9,163.98 : x
  2. Step 2: Convert to fraction form
    16,180.65/24,274.44 = 9,163.98/x
  3. Step 3: Cross multiply
    16,180.65x = 24,274.44 × 9,163.98
  4. Step 4: Simplify right side
    16,180.65x = 222,450,482.67
  5. Step 5: Solve for x
    x = 222,450,482.67/16,180.65
  6. Step 6: Final answer
    x = 13,747.93

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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.