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Finding the Fourth Proportional to 21,299.16, 31,963.30 and 7,448.16

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Solution

The fourth proportional to 21,299.16, 31,963.30 and 7,448.16 is: 11,177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,299.16 : 31,963.30 = 7,448.16 : x
  2. Step 2: Convert to fraction form
    21,299.16/31,963.30 = 7,448.16/x
  3. Step 3: Cross multiply
    21,299.16x = 31,963.30 × 7,448.16
  4. Step 4: Simplify right side
    21,299.16x = 238,067,772.53
  5. Step 5: Solve for x
    x = 238,067,772.53/21,299.16
  6. Step 6: Final answer
    x = 11,177.33

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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.