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Finding the Fourth Proportional to 15,729.14, 21,706.13 and 8,655.38

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Solution

The fourth proportional to 15,729.14, 21,706.13 and 8,655.38 is: 11,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.14 : 21,706.13 = 8,655.38 : x
  2. Step 2: Convert to fraction form
    15,729.14/21,706.13 = 8,655.38/x
  3. Step 3: Cross multiply
    15,729.14x = 21,706.13 × 8,655.38
  4. Step 4: Simplify right side
    15,729.14x = 187,874,803.48
  5. Step 5: Solve for x
    x = 187,874,803.48/15,729.14
  6. Step 6: Final answer
    x = 11,944.38

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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.