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Finding the Fourth Proportional to 15,725, 21,700.50 and 8,651.27

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Solution

The fourth proportional to 15,725, 21,700.50 and 8,651.27 is: 11,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,725 : 21,700.50 = 8,651.27 : x
  2. Step 2: Convert to fraction form
    15,725/21,700.50 = 8,651.27/x
  3. Step 3: Cross multiply
    15,725x = 21,700.50 × 8,651.27
  4. Step 4: Simplify right side
    15,725x = 187,736,884.64
  5. Step 5: Solve for x
    x = 187,736,884.64/15,725
  6. Step 6: Final answer
    x = 11,938.75

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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.