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Finding the Fourth Proportional to 17,847.75, 24,629.91 and 10,774.17

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Solution

The fourth proportional to 17,847.75, 24,629.91 and 10,774.17 is: 14,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.75 : 24,629.91 = 10,774.17 : x
  2. Step 2: Convert to fraction form
    17,847.75/24,629.91 = 10,774.17/x
  3. Step 3: Cross multiply
    17,847.75x = 24,629.91 × 10,774.17
  4. Step 4: Simplify right side
    17,847.75x = 265,366,837.42
  5. Step 5: Solve for x
    x = 265,366,837.42/17,847.75
  6. Step 6: Final answer
    x = 14,868.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.