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Finding the Fourth Proportional to 16,206.74, 24,270.92 and 13,412.85

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Solution

The fourth proportional to 16,206.74, 24,270.92 and 13,412.85 is: 20,086.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.74 : 24,270.92 = 13,412.85 : x
  2. Step 2: Convert to fraction form
    16,206.74/24,270.92 = 13,412.85/x
  3. Step 3: Cross multiply
    16,206.74x = 24,270.92 × 13,412.85
  4. Step 4: Simplify right side
    16,206.74x = 325,542,209.32
  5. Step 5: Solve for x
    x = 325,542,209.32/16,206.74
  6. Step 6: Final answer
    x = 20,086.84

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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.