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Finding the Fourth Proportional to 17,017.32, 23,480.46 and 9,942.38

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Solution

The fourth proportional to 17,017.32, 23,480.46 and 9,942.38 is: 13,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,017.32 : 23,480.46 = 9,942.38 : x
  2. Step 2: Convert to fraction form
    17,017.32/23,480.46 = 9,942.38/x
  3. Step 3: Cross multiply
    17,017.32x = 23,480.46 × 9,942.38
  4. Step 4: Simplify right side
    17,017.32x = 233,451,655.89
  5. Step 5: Solve for x
    x = 233,451,655.89/17,017.32
  6. Step 6: Final answer
    x = 13,718.47

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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.