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Finding the Fourth Proportional to 16,133.59, 24,189.31 and 8,220.79

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Solution

The fourth proportional to 16,133.59, 24,189.31 and 8,220.79 is: 12,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.59 : 24,189.31 = 8,220.79 : x
  2. Step 2: Convert to fraction form
    16,133.59/24,189.31 = 8,220.79/x
  3. Step 3: Cross multiply
    16,133.59x = 24,189.31 × 8,220.79
  4. Step 4: Simplify right side
    16,133.59x = 198,855,237.75
  5. Step 5: Solve for x
    x = 198,855,237.75/16,133.59
  6. Step 6: Final answer
    x = 12,325.54

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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.