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Finding the Fourth Proportional to 21,568.68, 29,785.86 and 14,121

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Solution

The fourth proportional to 21,568.68, 29,785.86 and 14,121 is: 19,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.68 : 29,785.86 = 14,121 : x
  2. Step 2: Convert to fraction form
    21,568.68/29,785.86 = 14,121/x
  3. Step 3: Cross multiply
    21,568.68x = 29,785.86 × 14,121
  4. Step 4: Simplify right side
    21,568.68x = 420,606,129.06
  5. Step 5: Solve for x
    x = 420,606,129.06/21,568.68
  6. Step 6: Final answer
    x = 19,500.78

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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.