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Finding the Fourth Proportional to 15,891.50, 21,934.30 and 10,857.76

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Solution

The fourth proportional to 15,891.50, 21,934.30 and 10,857.76 is: 14,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.50 : 21,934.30 = 10,857.76 : x
  2. Step 2: Convert to fraction form
    15,891.50/21,934.30 = 10,857.76/x
  3. Step 3: Cross multiply
    15,891.50x = 21,934.30 × 10,857.76
  4. Step 4: Simplify right side
    15,891.50x = 238,157,255.50
  5. Step 5: Solve for x
    x = 238,157,255.50/15,891.50
  6. Step 6: Final answer
    x = 14,986.46

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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.