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Finding the Fourth Proportional to 17,854.97, 26,782.83 and 6,009.10

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Solution

The fourth proportional to 17,854.97, 26,782.83 and 6,009.10 is: 9,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.97 : 26,782.83 = 6,009.10 : x
  2. Step 2: Convert to fraction form
    17,854.97/26,782.83 = 6,009.10/x
  3. Step 3: Cross multiply
    17,854.97x = 26,782.83 × 6,009.10
  4. Step 4: Simplify right side
    17,854.97x = 160,940,703.75
  5. Step 5: Solve for x
    x = 160,940,703.75/17,854.97
  6. Step 6: Final answer
    x = 9,013.78

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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.