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Finding the Fourth Proportional to 22,358.97, 30,852.90 and 13,406.85

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Solution

The fourth proportional to 22,358.97, 30,852.90 and 13,406.85 is: 18,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.97 : 30,852.90 = 13,406.85 : x
  2. Step 2: Convert to fraction form
    22,358.97/30,852.90 = 13,406.85/x
  3. Step 3: Cross multiply
    22,358.97x = 30,852.90 × 13,406.85
  4. Step 4: Simplify right side
    22,358.97x = 413,640,202.37
  5. Step 5: Solve for x
    x = 413,640,202.37/22,358.97
  6. Step 6: Final answer
    x = 18,499.97

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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.