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Finding the Fourth Proportional to 17,334.56, 26,004 and 5,644.64

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Solution

The fourth proportional to 17,334.56, 26,004 and 5,644.64 is: 8,467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,334.56 : 26,004 = 5,644.64 : x
  2. Step 2: Convert to fraction form
    17,334.56/26,004 = 5,644.64/x
  3. Step 3: Cross multiply
    17,334.56x = 26,004 × 5,644.64
  4. Step 4: Simplify right side
    17,334.56x = 146,783,218.56
  5. Step 5: Solve for x
    x = 146,783,218.56/17,334.56
  6. Step 6: Final answer
    x = 8,467.66

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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.