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Finding the Fourth Proportional to 20,436.32, 30,646.92 and 7,286.24

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Solution

The fourth proportional to 20,436.32, 30,646.92 and 7,286.24 is: 10,926.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,436.32 : 30,646.92 = 7,286.24 : x
  2. Step 2: Convert to fraction form
    20,436.32/30,646.92 = 7,286.24/x
  3. Step 3: Cross multiply
    20,436.32x = 30,646.92 × 7,286.24
  4. Step 4: Simplify right side
    20,436.32x = 223,300,814.38
  5. Step 5: Solve for x
    x = 223,300,814.38/20,436.32
  6. Step 6: Final answer
    x = 10,926.66

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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.