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Finding the Fourth Proportional to 17,161.46, 23,683 and 10,088

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Solution

The fourth proportional to 17,161.46, 23,683 and 10,088 is: 13,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,161.46 : 23,683 = 10,088 : x
  2. Step 2: Convert to fraction form
    17,161.46/23,683 = 10,088/x
  3. Step 3: Cross multiply
    17,161.46x = 23,683 × 10,088
  4. Step 4: Simplify right side
    17,161.46x = 238,914,104
  5. Step 5: Solve for x
    x = 238,914,104/17,161.46
  6. Step 6: Final answer
    x = 13,921.55

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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.