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Finding the Fourth Proportional to 21,257.64, 31,894.56 and 10,169.28

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Solution

The fourth proportional to 21,257.64, 31,894.56 and 10,169.28 is: 15,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.64 : 31,894.56 = 10,169.28 : x
  2. Step 2: Convert to fraction form
    21,257.64/31,894.56 = 10,169.28/x
  3. Step 3: Cross multiply
    21,257.64x = 31,894.56 × 10,169.28
  4. Step 4: Simplify right side
    21,257.64x = 324,344,711.12
  5. Step 5: Solve for x
    x = 324,344,711.12/21,257.64
  6. Step 6: Final answer
    x = 15,257.79

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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.