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Finding the Fourth Proportional to 17,584.85, 26,381.05 and 10,091.87

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Solution

The fourth proportional to 17,584.85, 26,381.05 and 10,091.87 is: 15,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.85 : 26,381.05 = 10,091.87 : x
  2. Step 2: Convert to fraction form
    17,584.85/26,381.05 = 10,091.87/x
  3. Step 3: Cross multiply
    17,584.85x = 26,381.05 × 10,091.87
  4. Step 4: Simplify right side
    17,584.85x = 266,234,001.76
  5. Step 5: Solve for x
    x = 266,234,001.76/17,584.85
  6. Step 6: Final answer
    x = 15,139.97

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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.