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Finding the Fourth Proportional to 17,022.65, 25,538.09 and 5,927.76

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Solution

The fourth proportional to 17,022.65, 25,538.09 and 5,927.76 is: 8,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.65 : 25,538.09 = 5,927.76 : x
  2. Step 2: Convert to fraction form
    17,022.65/25,538.09 = 5,927.76/x
  3. Step 3: Cross multiply
    17,022.65x = 25,538.09 × 5,927.76
  4. Step 4: Simplify right side
    17,022.65x = 151,383,638.74
  5. Step 5: Solve for x
    x = 151,383,638.74/17,022.65
  6. Step 6: Final answer
    x = 8,893.07

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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.