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Finding the Fourth Proportional to 23,976.34, 35,940.28 and 9,916.98

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Solution

The fourth proportional to 23,976.34, 35,940.28 and 9,916.98 is: 14,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,976.34 : 35,940.28 = 9,916.98 : x
  2. Step 2: Convert to fraction form
    23,976.34/35,940.28 = 9,916.98/x
  3. Step 3: Cross multiply
    23,976.34x = 35,940.28 × 9,916.98
  4. Step 4: Simplify right side
    23,976.34x = 356,419,037.95
  5. Step 5: Solve for x
    x = 356,419,037.95/23,976.34
  6. Step 6: Final answer
    x = 14,865.45

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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.