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Finding the Fourth Proportional to 20,640.64, 30,966.17 and 5,849.69

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Solution

The fourth proportional to 20,640.64, 30,966.17 and 5,849.69 is: 8,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640.64 : 30,966.17 = 5,849.69 : x
  2. Step 2: Convert to fraction form
    20,640.64/30,966.17 = 5,849.69/x
  3. Step 3: Cross multiply
    20,640.64x = 30,966.17 × 5,849.69
  4. Step 4: Simplify right side
    20,640.64x = 181,142,494.99
  5. Step 5: Solve for x
    x = 181,142,494.99/20,640.64
  6. Step 6: Final answer
    x = 8,776.01

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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.