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Finding the Fourth Proportional to 22,680.69, 34,028.84 and 10,209.47

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Solution

The fourth proportional to 22,680.69, 34,028.84 and 10,209.47 is: 15,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,680.69 : 34,028.84 = 10,209.47 : x
  2. Step 2: Convert to fraction form
    22,680.69/34,028.84 = 10,209.47/x
  3. Step 3: Cross multiply
    22,680.69x = 34,028.84 × 10,209.47
  4. Step 4: Simplify right side
    22,680.69x = 347,416,199.92
  5. Step 5: Solve for x
    x = 347,416,199.92/22,680.69
  6. Step 6: Final answer
    x = 15,317.71

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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.