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Finding the Fourth Proportional to 20,711.95, 31,072.79 and 5,920.47

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Solution

The fourth proportional to 20,711.95, 31,072.79 and 5,920.47 is: 8,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711.95 : 31,072.79 = 5,920.47 : x
  2. Step 2: Convert to fraction form
    20,711.95/31,072.79 = 5,920.47/x
  3. Step 3: Cross multiply
    20,711.95x = 31,072.79 × 5,920.47
  4. Step 4: Simplify right side
    20,711.95x = 183,965,535.81
  5. Step 5: Solve for x
    x = 183,965,535.81/20,711.95
  6. Step 6: Final answer
    x = 8,882.10

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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.