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Finding the Fourth Proportional to 22,102.77, 30,499.32 and 13,027.58

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Solution

The fourth proportional to 22,102.77, 30,499.32 and 13,027.58 is: 17,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.77 : 30,499.32 = 13,027.58 : x
  2. Step 2: Convert to fraction form
    22,102.77/30,499.32 = 13,027.58/x
  3. Step 3: Cross multiply
    22,102.77x = 30,499.32 × 13,027.58
  4. Step 4: Simplify right side
    22,102.77x = 397,332,331.25
  5. Step 5: Solve for x
    x = 397,332,331.25/22,102.77
  6. Step 6: Final answer
    x = 17,976.59

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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.