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Finding the Fourth Proportional to 22,933.69, 34,405.47 and 7,138.38

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Solution

The fourth proportional to 22,933.69, 34,405.47 and 7,138.38 is: 10,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933.69 : 34,405.47 = 7,138.38 : x
  2. Step 2: Convert to fraction form
    22,933.69/34,405.47 = 7,138.38/x
  3. Step 3: Cross multiply
    22,933.69x = 34,405.47 × 7,138.38
  4. Step 4: Simplify right side
    22,933.69x = 245,599,447.96
  5. Step 5: Solve for x
    x = 245,599,447.96/22,933.69
  6. Step 6: Final answer
    x = 10,709.11

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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.