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Finding the Fourth Proportional to 17,727, 24,462.99 and 9,769.02

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Solution

The fourth proportional to 17,727, 24,462.99 and 9,769.02 is: 13,481.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727 : 24,462.99 = 9,769.02 : x
  2. Step 2: Convert to fraction form
    17,727/24,462.99 = 9,769.02/x
  3. Step 3: Cross multiply
    17,727x = 24,462.99 × 9,769.02
  4. Step 4: Simplify right side
    17,727x = 238,979,438.57
  5. Step 5: Solve for x
    x = 238,979,438.57/17,727
  6. Step 6: Final answer
    x = 13,481.10

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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.