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Finding the Fourth Proportional to 15,724.82, 21,700.59 and 8,651.24

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Solution

The fourth proportional to 15,724.82, 21,700.59 and 8,651.24 is: 11,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.82 : 21,700.59 = 8,651.24 : x
  2. Step 2: Convert to fraction form
    15,724.82/21,700.59 = 8,651.24/x
  3. Step 3: Cross multiply
    15,724.82x = 21,700.59 × 8,651.24
  4. Step 4: Simplify right side
    15,724.82x = 187,737,012.23
  5. Step 5: Solve for x
    x = 187,737,012.23/15,724.82
  6. Step 6: Final answer
    x = 11,938.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.