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Finding the Fourth Proportional to 15,665.52, 21,618.36 and 9,696

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Solution

The fourth proportional to 15,665.52, 21,618.36 and 9,696 is: 13,380.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.52 : 21,618.36 = 9,696 : x
  2. Step 2: Convert to fraction form
    15,665.52/21,618.36 = 9,696/x
  3. Step 3: Cross multiply
    15,665.52x = 21,618.36 × 9,696
  4. Step 4: Simplify right side
    15,665.52x = 209,611,618.56
  5. Step 5: Solve for x
    x = 209,611,618.56/15,665.52
  6. Step 6: Final answer
    x = 13,380.44

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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.