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Finding the Fourth Proportional to 16,638.82, 24,970.90 and 6,118.80

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Solution

The fourth proportional to 16,638.82, 24,970.90 and 6,118.80 is: 9,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638.82 : 24,970.90 = 6,118.80 : x
  2. Step 2: Convert to fraction form
    16,638.82/24,970.90 = 6,118.80/x
  3. Step 3: Cross multiply
    16,638.82x = 24,970.90 × 6,118.80
  4. Step 4: Simplify right side
    16,638.82x = 152,791,942.92
  5. Step 5: Solve for x
    x = 152,791,942.92/16,638.82
  6. Step 6: Final answer
    x = 9,182.86

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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.