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Finding the Fourth Proportional to 27,496.77, 41,216.22 and 17,509.11

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Solution

The fourth proportional to 27,496.77, 41,216.22 and 17,509.11 is: 26,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,496.77 : 41,216.22 = 17,509.11 : x
  2. Step 2: Convert to fraction form
    27,496.77/41,216.22 = 17,509.11/x
  3. Step 3: Cross multiply
    27,496.77x = 41,216.22 × 17,509.11
  4. Step 4: Simplify right side
    27,496.77x = 721,659,329.76
  5. Step 5: Solve for x
    x = 721,659,329.76/27,496.77
  6. Step 6: Final answer
    x = 26,245.24

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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.