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Finding the Fourth Proportional to 16,776.99, 25,164.09 and 5,683.50

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Solution

The fourth proportional to 16,776.99, 25,164.09 and 5,683.50 is: 8,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,776.99 : 25,164.09 = 5,683.50 : x
  2. Step 2: Convert to fraction form
    16,776.99/25,164.09 = 5,683.50/x
  3. Step 3: Cross multiply
    16,776.99x = 25,164.09 × 5,683.50
  4. Step 4: Simplify right side
    16,776.99x = 143,020,105.52
  5. Step 5: Solve for x
    x = 143,020,105.52/16,776.99
  6. Step 6: Final answer
    x = 8,524.78

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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.