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Finding the Fourth Proportional to 16,494.66, 24,741.72 and 4,014.78

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Solution

The fourth proportional to 16,494.66, 24,741.72 and 4,014.78 is: 6,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.66 : 24,741.72 = 4,014.78 : x
  2. Step 2: Convert to fraction form
    16,494.66/24,741.72 = 4,014.78/x
  3. Step 3: Cross multiply
    16,494.66x = 24,741.72 × 4,014.78
  4. Step 4: Simplify right side
    16,494.66x = 99,332,562.62
  5. Step 5: Solve for x
    x = 99,332,562.62/16,494.66
  6. Step 6: Final answer
    x = 6,022.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.