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Finding the Fourth Proportional to 22,310.97, 30,763.90 and 14,233.83

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Solution

The fourth proportional to 22,310.97, 30,763.90 and 14,233.83 is: 19,626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,310.97 : 30,763.90 = 14,233.83 : x
  2. Step 2: Convert to fraction form
    22,310.97/30,763.90 = 14,233.83/x
  3. Step 3: Cross multiply
    22,310.97x = 30,763.90 × 14,233.83
  4. Step 4: Simplify right side
    22,310.97x = 437,888,025.16
  5. Step 5: Solve for x
    x = 437,888,025.16/22,310.97
  6. Step 6: Final answer
    x = 19,626.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.