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Finding the Fourth Proportional to 20,434.56, 30,653.61 and 5,643.48

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Solution

The fourth proportional to 20,434.56, 30,653.61 and 5,643.48 is: 8,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434.56 : 30,653.61 = 5,643.48 : x
  2. Step 2: Convert to fraction form
    20,434.56/30,653.61 = 5,643.48/x
  3. Step 3: Cross multiply
    20,434.56x = 30,653.61 × 5,643.48
  4. Step 4: Simplify right side
    20,434.56x = 172,993,034.96
  5. Step 5: Solve for x
    x = 172,993,034.96/20,434.56
  6. Step 6: Final answer
    x = 8,465.71

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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.