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Finding the Fourth Proportional to 26,109.48, 36,016 and 16,667.40

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Solution

The fourth proportional to 26,109.48, 36,016 and 16,667.40 is: 22,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,109.48 : 36,016 = 16,667.40 : x
  2. Step 2: Convert to fraction form
    26,109.48/36,016 = 16,667.40/x
  3. Step 3: Cross multiply
    26,109.48x = 36,016 × 16,667.40
  4. Step 4: Simplify right side
    26,109.48x = 600,293,078.40
  5. Step 5: Solve for x
    x = 600,293,078.40/26,109.48
  6. Step 6: Final answer
    x = 22,991.38

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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.