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Finding the Fourth Proportional to 17,564.10, 26,346.18 and 7,175.85

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Solution

The fourth proportional to 17,564.10, 26,346.18 and 7,175.85 is: 10,763.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.10 : 26,346.18 = 7,175.85 : x
  2. Step 2: Convert to fraction form
    17,564.10/26,346.18 = 7,175.85/x
  3. Step 3: Cross multiply
    17,564.10x = 26,346.18 × 7,175.85
  4. Step 4: Simplify right side
    17,564.10x = 189,056,235.75
  5. Step 5: Solve for x
    x = 189,056,235.75/17,564.10
  6. Step 6: Final answer
    x = 10,763.79

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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.