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Finding the Fourth Proportional to 17,675.67, 26,507.23 and 5,826.59

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Solution

The fourth proportional to 17,675.67, 26,507.23 and 5,826.59 is: 8,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,675.67 : 26,507.23 = 5,826.59 : x
  2. Step 2: Convert to fraction form
    17,675.67/26,507.23 = 5,826.59/x
  3. Step 3: Cross multiply
    17,675.67x = 26,507.23 × 5,826.59
  4. Step 4: Simplify right side
    17,675.67x = 154,446,761.25
  5. Step 5: Solve for x
    x = 154,446,761.25/17,675.67
  6. Step 6: Final answer
    x = 8,737.82

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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.