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Finding the Fourth Proportional to 17,411.75, 24,028.40 and 9,454.04

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Solution

The fourth proportional to 17,411.75, 24,028.40 and 9,454.04 is: 13,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,411.75 : 24,028.40 = 9,454.04 : x
  2. Step 2: Convert to fraction form
    17,411.75/24,028.40 = 9,454.04/x
  3. Step 3: Cross multiply
    17,411.75x = 24,028.40 × 9,454.04
  4. Step 4: Simplify right side
    17,411.75x = 227,165,467.54
  5. Step 5: Solve for x
    x = 227,165,467.54/17,411.75
  6. Step 6: Final answer
    x = 13,046.67

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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.