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Finding the Fourth Proportional to 16,474.96, 24,716.08 and 4,789.08

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Solution

The fourth proportional to 16,474.96, 24,716.08 and 4,789.08 is: 7,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.96 : 24,716.08 = 4,789.08 : x
  2. Step 2: Convert to fraction form
    16,474.96/24,716.08 = 4,789.08/x
  3. Step 3: Cross multiply
    16,474.96x = 24,716.08 × 4,789.08
  4. Step 4: Simplify right side
    16,474.96x = 118,367,284.41
  5. Step 5: Solve for x
    x = 118,367,284.41/16,474.96
  6. Step 6: Final answer
    x = 7,184.68

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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.