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Finding the Fourth Proportional to 17,827.44, 26,718 and 7,285.14

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Solution

The fourth proportional to 17,827.44, 26,718 and 7,285.14 is: 10,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.44 : 26,718 = 7,285.14 : x
  2. Step 2: Convert to fraction form
    17,827.44/26,718 = 7,285.14/x
  3. Step 3: Cross multiply
    17,827.44x = 26,718 × 7,285.14
  4. Step 4: Simplify right side
    17,827.44x = 194,644,370.52
  5. Step 5: Solve for x
    x = 194,644,370.52/17,827.44
  6. Step 6: Final answer
    x = 10,918.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.