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Finding the Fourth Proportional to 17,065.72, 23,550.34 and 9,512.02

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Solution

The fourth proportional to 17,065.72, 23,550.34 and 9,512.02 is: 13,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065.72 : 23,550.34 = 9,512.02 : x
  2. Step 2: Convert to fraction form
    17,065.72/23,550.34 = 9,512.02/x
  3. Step 3: Cross multiply
    17,065.72x = 23,550.34 × 9,512.02
  4. Step 4: Simplify right side
    17,065.72x = 224,011,305.09
  5. Step 5: Solve for x
    x = 224,011,305.09/17,065.72
  6. Step 6: Final answer
    x = 13,126.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.