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Finding the Fourth Proportional to 17,089.75, 25,638.96 and 4,777.75

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Solution

The fourth proportional to 17,089.75, 25,638.96 and 4,777.75 is: 7,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089.75 : 25,638.96 = 4,777.75 : x
  2. Step 2: Convert to fraction form
    17,089.75/25,638.96 = 4,777.75/x
  3. Step 3: Cross multiply
    17,089.75x = 25,638.96 × 4,777.75
  4. Step 4: Simplify right side
    17,089.75x = 122,496,541.14
  5. Step 5: Solve for x
    x = 122,496,541.14/17,089.75
  6. Step 6: Final answer
    x = 7,167.84

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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.