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Finding the Fourth Proportional to 15,724.94, 21,700.10 and 8,651.48

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Solution

The fourth proportional to 15,724.94, 21,700.10 and 8,651.48 is: 11,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.94 : 21,700.10 = 8,651.48 : x
  2. Step 2: Convert to fraction form
    15,724.94/21,700.10 = 8,651.48/x
  3. Step 3: Cross multiply
    15,724.94x = 21,700.10 × 8,651.48
  4. Step 4: Simplify right side
    15,724.94x = 187,737,894.28
  5. Step 5: Solve for x
    x = 187,737,894.28/15,724.94
  6. Step 6: Final answer
    x = 11,938.87

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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.