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Finding the Fourth Proportional to 16,464.15, 24,701.78 and 5,221.33

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Solution

The fourth proportional to 16,464.15, 24,701.78 and 5,221.33 is: 7,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.15 : 24,701.78 = 5,221.33 : x
  2. Step 2: Convert to fraction form
    16,464.15/24,701.78 = 5,221.33/x
  3. Step 3: Cross multiply
    16,464.15x = 24,701.78 × 5,221.33
  4. Step 4: Simplify right side
    16,464.15x = 128,976,057.11
  5. Step 5: Solve for x
    x = 128,976,057.11/16,464.15
  6. Step 6: Final answer
    x = 7,833.75

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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.