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Finding the Fourth Proportional to 17,706.67, 24,434.46 and 10,147.75

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Solution

The fourth proportional to 17,706.67, 24,434.46 and 10,147.75 is: 14,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.67 : 24,434.46 = 10,147.75 : x
  2. Step 2: Convert to fraction form
    17,706.67/24,434.46 = 10,147.75/x
  3. Step 3: Cross multiply
    17,706.67x = 24,434.46 × 10,147.75
  4. Step 4: Simplify right side
    17,706.67x = 247,954,730.38
  5. Step 5: Solve for x
    x = 247,954,730.38/17,706.67
  6. Step 6: Final answer
    x = 14,003.47

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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.