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Finding the Fourth Proportional to 27,569.60, 41,357.28 and 17,178.56

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Solution

The fourth proportional to 27,569.60, 41,357.28 and 17,178.56 is: 25,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569.60 : 41,357.28 = 17,178.56 : x
  2. Step 2: Convert to fraction form
    27,569.60/41,357.28 = 17,178.56/x
  3. Step 3: Cross multiply
    27,569.60x = 41,357.28 × 17,178.56
  4. Step 4: Simplify right side
    27,569.60x = 710,458,515.92
  5. Step 5: Solve for x
    x = 710,458,515.92/27,569.60
  6. Step 6: Final answer
    x = 25,769.63

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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.