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Finding the Fourth Proportional to 16,564.67, 24,847.80 and 5,471.11

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Solution

The fourth proportional to 16,564.67, 24,847.80 and 5,471.11 is: 8,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.67 : 24,847.80 = 5,471.11 : x
  2. Step 2: Convert to fraction form
    16,564.67/24,847.80 = 5,471.11/x
  3. Step 3: Cross multiply
    16,564.67x = 24,847.80 × 5,471.11
  4. Step 4: Simplify right side
    16,564.67x = 135,945,047.06
  5. Step 5: Solve for x
    x = 135,945,047.06/16,564.67
  6. Step 6: Final answer
    x = 8,206.93

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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.