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Finding the Fourth Proportional to 16,278.42, 24,400.98 and 9,243.57

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Solution

The fourth proportional to 16,278.42, 24,400.98 and 9,243.57 is: 13,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.42 : 24,400.98 = 9,243.57 : x
  2. Step 2: Convert to fraction form
    16,278.42/24,400.98 = 9,243.57/x
  3. Step 3: Cross multiply
    16,278.42x = 24,400.98 × 9,243.57
  4. Step 4: Simplify right side
    16,278.42x = 225,552,166.70
  5. Step 5: Solve for x
    x = 225,552,166.70/16,278.42
  6. Step 6: Final answer
    x = 13,855.90

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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.