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Finding the Fourth Proportional to 21,229.71, 29,288.84 and 13,675.46

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Solution

The fourth proportional to 21,229.71, 29,288.84 and 13,675.46 is: 18,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229.71 : 29,288.84 = 13,675.46 : x
  2. Step 2: Convert to fraction form
    21,229.71/29,288.84 = 13,675.46/x
  3. Step 3: Cross multiply
    21,229.71x = 29,288.84 × 13,675.46
  4. Step 4: Simplify right side
    21,229.71x = 400,538,145.04
  5. Step 5: Solve for x
    x = 400,538,145.04/21,229.71
  6. Step 6: Final answer
    x = 18,866.87

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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.