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Finding the Fourth Proportional to 21,196.64, 31,772.16 and 13,806.56

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Solution

The fourth proportional to 21,196.64, 31,772.16 and 13,806.56 is: 20,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,196.64 : 31,772.16 = 13,806.56 : x
  2. Step 2: Convert to fraction form
    21,196.64/31,772.16 = 13,806.56/x
  3. Step 3: Cross multiply
    21,196.64x = 31,772.16 × 13,806.56
  4. Step 4: Simplify right side
    21,196.64x = 438,664,233.37
  5. Step 5: Solve for x
    x = 438,664,233.37/21,196.64
  6. Step 6: Final answer
    x = 20,694.99

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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.