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Finding the Fourth Proportional to 23,974.34, 35,937.29 and 9,914.97

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Solution

The fourth proportional to 23,974.34, 35,937.29 and 9,914.97 is: 14,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,974.34 : 35,937.29 = 9,914.97 : x
  2. Step 2: Convert to fraction form
    23,974.34/35,937.29 = 9,914.97/x
  3. Step 3: Cross multiply
    23,974.34x = 35,937.29 × 9,914.97
  4. Step 4: Simplify right side
    23,974.34x = 356,317,152.23
  5. Step 5: Solve for x
    x = 356,317,152.23/23,974.34
  6. Step 6: Final answer
    x = 14,862.44

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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.