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Finding the Fourth Proportional to 17,866.72, 24,653.46 and 9,909

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Solution

The fourth proportional to 17,866.72, 24,653.46 and 9,909 is: 13,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.72 : 24,653.46 = 9,909 : x
  2. Step 2: Convert to fraction form
    17,866.72/24,653.46 = 9,909/x
  3. Step 3: Cross multiply
    17,866.72x = 24,653.46 × 9,909
  4. Step 4: Simplify right side
    17,866.72x = 244,291,135.14
  5. Step 5: Solve for x
    x = 244,291,135.14/17,866.72
  6. Step 6: Final answer
    x = 13,672.97

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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.