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Finding the Fourth Proportional to 17,222.64, 25,809.66 and 7,358.46

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Solution

The fourth proportional to 17,222.64, 25,809.66 and 7,358.46 is: 11,027.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,222.64 : 25,809.66 = 7,358.46 : x
  2. Step 2: Convert to fraction form
    17,222.64/25,809.66 = 7,358.46/x
  3. Step 3: Cross multiply
    17,222.64x = 25,809.66 × 7,358.46
  4. Step 4: Simplify right side
    17,222.64x = 189,919,350.72
  5. Step 5: Solve for x
    x = 189,919,350.72/17,222.64
  6. Step 6: Final answer
    x = 11,027.31

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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.