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Finding the Fourth Proportional to 17,257.84, 25,887.34 and 4,776.82

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Solution

The fourth proportional to 17,257.84, 25,887.34 and 4,776.82 is: 7,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.84 : 25,887.34 = 4,776.82 : x
  2. Step 2: Convert to fraction form
    17,257.84/25,887.34 = 4,776.82/x
  3. Step 3: Cross multiply
    17,257.84x = 25,887.34 × 4,776.82
  4. Step 4: Simplify right side
    17,257.84x = 123,659,163.46
  5. Step 5: Solve for x
    x = 123,659,163.46/17,257.84
  6. Step 6: Final answer
    x = 7,165.39

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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.