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Finding the Fourth Proportional to 16,311.14, 24,460.70 and 5,634.78

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Solution

The fourth proportional to 16,311.14, 24,460.70 and 5,634.78 is: 8,450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.14 : 24,460.70 = 5,634.78 : x
  2. Step 2: Convert to fraction form
    16,311.14/24,460.70 = 5,634.78/x
  3. Step 3: Cross multiply
    16,311.14x = 24,460.70 × 5,634.78
  4. Step 4: Simplify right side
    16,311.14x = 137,830,641.93
  5. Step 5: Solve for x
    x = 137,830,641.93/16,311.14
  6. Step 6: Final answer
    x = 8,450.09

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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.