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Finding the Fourth Proportional to 20,908.67, 31,363.71 and 7,574.95

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Solution

The fourth proportional to 20,908.67, 31,363.71 and 7,574.95 is: 11,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,908.67 : 31,363.71 = 7,574.95 : x
  2. Step 2: Convert to fraction form
    20,908.67/31,363.71 = 7,574.95/x
  3. Step 3: Cross multiply
    20,908.67x = 31,363.71 × 7,574.95
  4. Step 4: Simplify right side
    20,908.67x = 237,578,545.86
  5. Step 5: Solve for x
    x = 237,578,545.86/20,908.67
  6. Step 6: Final answer
    x = 11,362.68

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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.