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Finding the Fourth Proportional to 22,338.96, 30,821.20 and 13,847.32

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Solution

The fourth proportional to 22,338.96, 30,821.20 and 13,847.32 is: 19,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338.96 : 30,821.20 = 13,847.32 : x
  2. Step 2: Convert to fraction form
    22,338.96/30,821.20 = 13,847.32/x
  3. Step 3: Cross multiply
    22,338.96x = 30,821.20 × 13,847.32
  4. Step 4: Simplify right side
    22,338.96x = 426,791,019.18
  5. Step 5: Solve for x
    x = 426,791,019.18/22,338.96
  6. Step 6: Final answer
    x = 19,105.23

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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.