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Finding the Fourth Proportional to 20,097.79, 30,117.83 and 11,314.15

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Solution

The fourth proportional to 20,097.79, 30,117.83 and 11,314.15 is: 16,954.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.79 : 30,117.83 = 11,314.15 : x
  2. Step 2: Convert to fraction form
    20,097.79/30,117.83 = 11,314.15/x
  3. Step 3: Cross multiply
    20,097.79x = 30,117.83 × 11,314.15
  4. Step 4: Simplify right side
    20,097.79x = 340,757,514.43
  5. Step 5: Solve for x
    x = 340,757,514.43/20,097.79
  6. Step 6: Final answer
    x = 16,954.98

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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.