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Finding the Fourth Proportional to 17,728.60, 26,597.83 and 7,734.22

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Solution

The fourth proportional to 17,728.60, 26,597.83 and 7,734.22 is: 11,603.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.60 : 26,597.83 = 7,734.22 : x
  2. Step 2: Convert to fraction form
    17,728.60/26,597.83 = 7,734.22/x
  3. Step 3: Cross multiply
    17,728.60x = 26,597.83 × 7,734.22
  4. Step 4: Simplify right side
    17,728.60x = 205,713,468.74
  5. Step 5: Solve for x
    x = 205,713,468.74/17,728.60
  6. Step 6: Final answer
    x = 11,603.48

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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.