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Finding the Fourth Proportional to 17,666.26, 24,379.44 and 9,709

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Solution

The fourth proportional to 17,666.26, 24,379.44 and 9,709 is: 13,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.26 : 24,379.44 = 9,709 : x
  2. Step 2: Convert to fraction form
    17,666.26/24,379.44 = 9,709/x
  3. Step 3: Cross multiply
    17,666.26x = 24,379.44 × 9,709
  4. Step 4: Simplify right side
    17,666.26x = 236,699,982.96
  5. Step 5: Solve for x
    x = 236,699,982.96/17,666.26
  6. Step 6: Final answer
    x = 13,398.42

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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.