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Finding the Fourth Proportional to 17,699.87, 26,537.46 and 7,833.75

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Solution

The fourth proportional to 17,699.87, 26,537.46 and 7,833.75 is: 11,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,699.87 : 26,537.46 = 7,833.75 : x
  2. Step 2: Convert to fraction form
    17,699.87/26,537.46 = 7,833.75/x
  3. Step 3: Cross multiply
    17,699.87x = 26,537.46 × 7,833.75
  4. Step 4: Simplify right side
    17,699.87x = 207,887,827.28
  5. Step 5: Solve for x
    x = 207,887,827.28/17,699.87
  6. Step 6: Final answer
    x = 11,745.16

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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.