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Finding the Fourth Proportional to 16,871.82, 25,310.04 and 6,341.41

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Solution

The fourth proportional to 16,871.82, 25,310.04 and 6,341.41 is: 9,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.82 : 25,310.04 = 6,341.41 : x
  2. Step 2: Convert to fraction form
    16,871.82/25,310.04 = 6,341.41/x
  3. Step 3: Cross multiply
    16,871.82x = 25,310.04 × 6,341.41
  4. Step 4: Simplify right side
    16,871.82x = 160,501,340.76
  5. Step 5: Solve for x
    x = 160,501,340.76/16,871.82
  6. Step 6: Final answer
    x = 9,512.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.