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Finding the Fourth Proportional to 27,569.60, 41,392.80 and 17,201.60

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Solution

The fourth proportional to 27,569.60, 41,392.80 and 17,201.60 is: 25,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569.60 : 41,392.80 = 17,201.60 : x
  2. Step 2: Convert to fraction form
    27,569.60/41,392.80 = 17,201.60/x
  3. Step 3: Cross multiply
    27,569.60x = 41,392.80 × 17,201.60
  4. Step 4: Simplify right side
    27,569.60x = 712,022,388.48
  5. Step 5: Solve for x
    x = 712,022,388.48/27,569.60
  6. Step 6: Final answer
    x = 25,826.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.