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Finding the Fourth Proportional to 23,544, 35,318.32 and 7,742.61

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Solution

The fourth proportional to 23,544, 35,318.32 and 7,742.61 is: 11,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544 : 35,318.32 = 7,742.61 : x
  2. Step 2: Convert to fraction form
    23,544/35,318.32 = 7,742.61/x
  3. Step 3: Cross multiply
    23,544x = 35,318.32 × 7,742.61
  4. Step 4: Simplify right side
    23,544x = 273,455,958.26
  5. Step 5: Solve for x
    x = 273,455,958.26/23,544
  6. Step 6: Final answer
    x = 11,614.68

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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.