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Finding the Fourth Proportional to 20,507.32, 30,760.84 and 5,716.24

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Solution

The fourth proportional to 20,507.32, 30,760.84 and 5,716.24 is: 8,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.32 : 30,760.84 = 5,716.24 : x
  2. Step 2: Convert to fraction form
    20,507.32/30,760.84 = 5,716.24/x
  3. Step 3: Cross multiply
    20,507.32x = 30,760.84 × 5,716.24
  4. Step 4: Simplify right side
    20,507.32x = 175,836,344.04
  5. Step 5: Solve for x
    x = 175,836,344.04/20,507.32
  6. Step 6: Final answer
    x = 8,574.32

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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.