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Finding the Fourth Proportional to 15,724.75, 21,700.16 and 8,651.02

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Solution

The fourth proportional to 15,724.75, 21,700.16 and 8,651.02 is: 11,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.75 : 21,700.16 = 8,651.02 : x
  2. Step 2: Convert to fraction form
    15,724.75/21,700.16 = 8,651.02/x
  3. Step 3: Cross multiply
    15,724.75x = 21,700.16 × 8,651.02
  4. Step 4: Simplify right side
    15,724.75x = 187,728,474.91
  5. Step 5: Solve for x
    x = 187,728,474.91/15,724.75
  6. Step 6: Final answer
    x = 11,938.41

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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.