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Finding the Fourth Proportional to 17,871.75, 24,664.41 and 9,915.51

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Solution

The fourth proportional to 17,871.75, 24,664.41 and 9,915.51 is: 13,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.75 : 24,664.41 = 9,915.51 : x
  2. Step 2: Convert to fraction form
    17,871.75/24,664.41 = 9,915.51/x
  3. Step 3: Cross multiply
    17,871.75x = 24,664.41 × 9,915.51
  4. Step 4: Simplify right side
    17,871.75x = 244,560,204.00
  5. Step 5: Solve for x
    x = 244,560,204.00/17,871.75
  6. Step 6: Final answer
    x = 13,684.18

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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.