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Finding the Fourth Proportional to 15,214.41, 20,995.78 and 8,499.96

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Solution

The fourth proportional to 15,214.41, 20,995.78 and 8,499.96 is: 11,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,214.41 : 20,995.78 = 8,499.96 : x
  2. Step 2: Convert to fraction form
    15,214.41/20,995.78 = 8,499.96/x
  3. Step 3: Cross multiply
    15,214.41x = 20,995.78 × 8,499.96
  4. Step 4: Simplify right side
    15,214.41x = 178,463,367.81
  5. Step 5: Solve for x
    x = 178,463,367.81/15,214.41
  6. Step 6: Final answer
    x = 11,729.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.