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Finding the Fourth Proportional to 16,182.18, 24,263.24 and 6,817.41

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Solution

The fourth proportional to 16,182.18, 24,263.24 and 6,817.41 is: 10,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.18 : 24,263.24 = 6,817.41 : x
  2. Step 2: Convert to fraction form
    16,182.18/24,263.24 = 6,817.41/x
  3. Step 3: Cross multiply
    16,182.18x = 24,263.24 × 6,817.41
  4. Step 4: Simplify right side
    16,182.18x = 165,412,420.92
  5. Step 5: Solve for x
    x = 165,412,420.92/16,182.18
  6. Step 6: Final answer
    x = 10,221.89

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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.