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Finding the Fourth Proportional to 21,568.14, 32,366.04 and 10,468.78

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Solution

The fourth proportional to 21,568.14, 32,366.04 and 10,468.78 is: 15,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.14 : 32,366.04 = 10,468.78 : x
  2. Step 2: Convert to fraction form
    21,568.14/32,366.04 = 10,468.78/x
  3. Step 3: Cross multiply
    21,568.14x = 32,366.04 × 10,468.78
  4. Step 4: Simplify right side
    21,568.14x = 338,832,832.06
  5. Step 5: Solve for x
    x = 338,832,832.06/21,568.14
  6. Step 6: Final answer
    x = 15,709.88

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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.