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Finding the Fourth Proportional to 17,546.56, 26,322 and 7,156.96

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Solution

The fourth proportional to 17,546.56, 26,322 and 7,156.96 is: 10,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.56 : 26,322 = 7,156.96 : x
  2. Step 2: Convert to fraction form
    17,546.56/26,322 = 7,156.96/x
  3. Step 3: Cross multiply
    17,546.56x = 26,322 × 7,156.96
  4. Step 4: Simplify right side
    17,546.56x = 188,385,501.12
  5. Step 5: Solve for x
    x = 188,385,501.12/17,546.56
  6. Step 6: Final answer
    x = 10,736.32

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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.