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Finding the Fourth Proportional to 12,198.96, 18,281.16 and 9,722.70

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Solution

The fourth proportional to 12,198.96, 18,281.16 and 9,722.70 is: 14,570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.96 : 18,281.16 = 9,722.70 : x
  2. Step 2: Convert to fraction form
    12,198.96/18,281.16 = 9,722.70/x
  3. Step 3: Cross multiply
    12,198.96x = 18,281.16 × 9,722.70
  4. Step 4: Simplify right side
    12,198.96x = 177,742,234.33
  5. Step 5: Solve for x
    x = 177,742,234.33/12,198.96
  6. Step 6: Final answer
    x = 14,570.28

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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.