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Finding the Fourth Proportional to 17,267.80, 23,828.82 and 9,714

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Solution

The fourth proportional to 17,267.80, 23,828.82 and 9,714 is: 13,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,267.80 : 23,828.82 = 9,714 : x
  2. Step 2: Convert to fraction form
    17,267.80/23,828.82 = 9,714/x
  3. Step 3: Cross multiply
    17,267.80x = 23,828.82 × 9,714
  4. Step 4: Simplify right side
    17,267.80x = 231,473,157.48
  5. Step 5: Solve for x
    x = 231,473,157.48/17,267.80
  6. Step 6: Final answer
    x = 13,404.90

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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.