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Finding the Fourth Proportional to 14,696.92, 20,267.82 and 9,652.24

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Solution

The fourth proportional to 14,696.92, 20,267.82 and 9,652.24 is: 13,310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.92 : 20,267.82 = 9,652.24 : x
  2. Step 2: Convert to fraction form
    14,696.92/20,267.82 = 9,652.24/x
  3. Step 3: Cross multiply
    14,696.92x = 20,267.82 × 9,652.24
  4. Step 4: Simplify right side
    14,696.92x = 195,629,862.92
  5. Step 5: Solve for x
    x = 195,629,862.92/14,696.92
  6. Step 6: Final answer
    x = 13,310.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.