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Finding the Fourth Proportional to 22,458.24, 30,993.84 and 13,027.68

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Solution

The fourth proportional to 22,458.24, 30,993.84 and 13,027.68 is: 17,979.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,458.24 : 30,993.84 = 13,027.68 : x
  2. Step 2: Convert to fraction form
    22,458.24/30,993.84 = 13,027.68/x
  3. Step 3: Cross multiply
    22,458.24x = 30,993.84 × 13,027.68
  4. Step 4: Simplify right side
    22,458.24x = 403,777,829.49
  5. Step 5: Solve for x
    x = 403,777,829.49/22,458.24
  6. Step 6: Final answer
    x = 17,979.05

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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.