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Finding the Fourth Proportional to 20,649.65, 30,974.50 and 5,655.67

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Solution

The fourth proportional to 20,649.65, 30,974.50 and 5,655.67 is: 8,483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,649.65 : 30,974.50 = 5,655.67 : x
  2. Step 2: Convert to fraction form
    20,649.65/30,974.50 = 5,655.67/x
  3. Step 3: Cross multiply
    20,649.65x = 30,974.50 × 5,655.67
  4. Step 4: Simplify right side
    20,649.65x = 175,181,550.42
  5. Step 5: Solve for x
    x = 175,181,550.42/20,649.65
  6. Step 6: Final answer
    x = 8,483.51

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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.