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Finding the Fourth Proportional to 23,823, 35,734.50 and 9,972

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Solution

The fourth proportional to 23,823, 35,734.50 and 9,972 is: 14,958

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823 : 35,734.50 = 9,972 : x
  2. Step 2: Convert to fraction form
    23,823/35,734.50 = 9,972/x
  3. Step 3: Cross multiply
    23,823x = 35,734.50 × 9,972
  4. Step 4: Simplify right side
    23,823x = 356,344,434
  5. Step 5: Solve for x
    x = 356,344,434/23,823
  6. Step 6: Final answer
    x = 14,958

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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.