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Finding the Fourth Proportional to 20,107.66, 30,176.08 and 11,359.66

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Solution

The fourth proportional to 20,107.66, 30,176.08 and 11,359.66 is: 17,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.66 : 30,176.08 = 11,359.66 : x
  2. Step 2: Convert to fraction form
    20,107.66/30,176.08 = 11,359.66/x
  3. Step 3: Cross multiply
    20,107.66x = 30,176.08 × 11,359.66
  4. Step 4: Simplify right side
    20,107.66x = 342,790,008.93
  5. Step 5: Solve for x
    x = 342,790,008.93/20,107.66
  6. Step 6: Final answer
    x = 17,047.73

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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.