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Finding the Fourth Proportional to 17,667.26, 24,380.82 and 9,710

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Solution

The fourth proportional to 17,667.26, 24,380.82 and 9,710 is: 13,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.26 : 24,380.82 = 9,710 : x
  2. Step 2: Convert to fraction form
    17,667.26/24,380.82 = 9,710/x
  3. Step 3: Cross multiply
    17,667.26x = 24,380.82 × 9,710
  4. Step 4: Simplify right side
    17,667.26x = 236,737,762.20
  5. Step 5: Solve for x
    x = 236,737,762.20/17,667.26
  6. Step 6: Final answer
    x = 13,399.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.