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Finding the Fourth Proportional to 22,771.69, 34,158.56 and 6,975.57

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Solution

The fourth proportional to 22,771.69, 34,158.56 and 6,975.57 is: 10,463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.69 : 34,158.56 = 6,975.57 : x
  2. Step 2: Convert to fraction form
    22,771.69/34,158.56 = 6,975.57/x
  3. Step 3: Cross multiply
    22,771.69x = 34,158.56 × 6,975.57
  4. Step 4: Simplify right side
    22,771.69x = 238,275,366.69
  5. Step 5: Solve for x
    x = 238,275,366.69/22,771.69
  6. Step 6: Final answer
    x = 10,463.67

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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.