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Finding the Fourth Proportional to 24,027.60, 36,221.64 and 22,422

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Solution

The fourth proportional to 24,027.60, 36,221.64 and 22,422 is: 33,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,027.60 : 36,221.64 = 22,422 : x
  2. Step 2: Convert to fraction form
    24,027.60/36,221.64 = 22,422/x
  3. Step 3: Cross multiply
    24,027.60x = 36,221.64 × 22,422
  4. Step 4: Simplify right side
    24,027.60x = 812,161,612.08
  5. Step 5: Solve for x
    x = 812,161,612.08/24,027.60
  6. Step 6: Final answer
    x = 33,801.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.