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Finding the Fourth Proportional to 15,891.28, 21,934.00 and 10,857.54

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Solution

The fourth proportional to 15,891.28, 21,934.00 and 10,857.54 is: 14,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.28 : 21,934.00 = 10,857.54 : x
  2. Step 2: Convert to fraction form
    15,891.28/21,934.00 = 10,857.54/x
  3. Step 3: Cross multiply
    15,891.28x = 21,934.00 × 10,857.54
  4. Step 4: Simplify right side
    15,891.28x = 238,149,145.55
  5. Step 5: Solve for x
    x = 238,149,145.55/15,891.28
  6. Step 6: Final answer
    x = 14,986.15

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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.