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Finding the Fourth Proportional to 17,102.10, 23,600.78 and 9,548

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Solution

The fourth proportional to 17,102.10, 23,600.78 and 9,548 is: 13,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.10 : 23,600.78 = 9,548 : x
  2. Step 2: Convert to fraction form
    17,102.10/23,600.78 = 9,548/x
  3. Step 3: Cross multiply
    17,102.10x = 23,600.78 × 9,548
  4. Step 4: Simplify right side
    17,102.10x = 225,340,247.44
  5. Step 5: Solve for x
    x = 225,340,247.44/17,102.10
  6. Step 6: Final answer
    x = 13,176.17

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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.