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Finding the Fourth Proportional to 20,473.34, 30,709.66 and 9,222.42

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Solution

The fourth proportional to 20,473.34, 30,709.66 and 9,222.42 is: 13,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.34 : 30,709.66 = 9,222.42 : x
  2. Step 2: Convert to fraction form
    20,473.34/30,709.66 = 9,222.42/x
  3. Step 3: Cross multiply
    20,473.34x = 30,709.66 × 9,222.42
  4. Step 4: Simplify right side
    20,473.34x = 283,217,382.58
  5. Step 5: Solve for x
    x = 283,217,382.58/20,473.34
  6. Step 6: Final answer
    x = 13,833.47

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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.