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Finding the Fourth Proportional to 16,005.78, 24,011.49 and 5,473.33

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Solution

The fourth proportional to 16,005.78, 24,011.49 and 5,473.33 is: 8,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.78 : 24,011.49 = 5,473.33 : x
  2. Step 2: Convert to fraction form
    16,005.78/24,011.49 = 5,473.33/x
  3. Step 3: Cross multiply
    16,005.78x = 24,011.49 × 5,473.33
  4. Step 4: Simplify right side
    16,005.78x = 131,422,789.79
  5. Step 5: Solve for x
    x = 131,422,789.79/16,005.78
  6. Step 6: Final answer
    x = 8,210.96

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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.