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Finding the Fourth Proportional to 15,695, 21,661.02 and 9,071

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Solution

The fourth proportional to 15,695, 21,661.02 and 9,071 is: 12,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,695 : 21,661.02 = 9,071 : x
  2. Step 2: Convert to fraction form
    15,695/21,661.02 = 9,071/x
  3. Step 3: Cross multiply
    15,695x = 21,661.02 × 9,071
  4. Step 4: Simplify right side
    15,695x = 196,487,112.42
  5. Step 5: Solve for x
    x = 196,487,112.42/15,695
  6. Step 6: Final answer
    x = 12,519.09

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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.