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Finding the Fourth Proportional to 17,871.88, 24,662.36 and 9,914.02

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Solution

The fourth proportional to 17,871.88, 24,662.36 and 9,914.02 is: 13,680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.88 : 24,662.36 = 9,914.02 : x
  2. Step 2: Convert to fraction form
    17,871.88/24,662.36 = 9,914.02/x
  3. Step 3: Cross multiply
    17,871.88x = 24,662.36 × 9,914.02
  4. Step 4: Simplify right side
    17,871.88x = 244,503,130.29
  5. Step 5: Solve for x
    x = 244,503,130.29/17,871.88
  6. Step 6: Final answer
    x = 13,680.88

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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.