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Finding the Fourth Proportional to 17,564, 26,346.02 and 7,175.75

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Solution

The fourth proportional to 17,564, 26,346.02 and 7,175.75 is: 10,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564 : 26,346.02 = 7,175.75 : x
  2. Step 2: Convert to fraction form
    17,564/26,346.02 = 7,175.75/x
  3. Step 3: Cross multiply
    17,564x = 26,346.02 × 7,175.75
  4. Step 4: Simplify right side
    17,564x = 189,052,453.02
  5. Step 5: Solve for x
    x = 189,052,453.02/17,564
  6. Step 6: Final answer
    x = 10,763.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.