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Finding the Fourth Proportional to 23,530.25, 35,299.71 and 7,736.18

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Solution

The fourth proportional to 23,530.25, 35,299.71 and 7,736.18 is: 11,605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.25 : 35,299.71 = 7,736.18 : x
  2. Step 2: Convert to fraction form
    23,530.25/35,299.71 = 7,736.18/x
  3. Step 3: Cross multiply
    23,530.25x = 35,299.71 × 7,736.18
  4. Step 4: Simplify right side
    23,530.25x = 273,084,734.01
  5. Step 5: Solve for x
    x = 273,084,734.01/23,530.25
  6. Step 6: Final answer
    x = 11,605.69

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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.