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Finding the Fourth Proportional to 23,537.76, 35,311 and 7,743.66

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Solution

The fourth proportional to 23,537.76, 35,311 and 7,743.66 is: 11,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537.76 : 35,311 = 7,743.66 : x
  2. Step 2: Convert to fraction form
    23,537.76/35,311 = 7,743.66/x
  3. Step 3: Cross multiply
    23,537.76x = 35,311 × 7,743.66
  4. Step 4: Simplify right side
    23,537.76x = 273,436,378.26
  5. Step 5: Solve for x
    x = 273,436,378.26/23,537.76
  6. Step 6: Final answer
    x = 11,616.92

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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.