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Finding the Fourth Proportional to 23,529.64, 35,306.78 and 9,493.16

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Solution

The fourth proportional to 23,529.64, 35,306.78 and 9,493.16 is: 14,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,529.64 : 35,306.78 = 9,493.16 : x
  2. Step 2: Convert to fraction form
    23,529.64/35,306.78 = 9,493.16/x
  3. Step 3: Cross multiply
    23,529.64x = 35,306.78 × 9,493.16
  4. Step 4: Simplify right side
    23,529.64x = 335,172,911.62
  5. Step 5: Solve for x
    x = 335,172,911.62/23,529.64
  6. Step 6: Final answer
    x = 14,244.71

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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.