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Finding the Fourth Proportional to 8,676.18, 13,014.23 and 2,102.34

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Solution

The fourth proportional to 8,676.18, 13,014.23 and 2,102.34 is: 3,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.18 : 13,014.23 = 2,102.34 : x
  2. Step 2: Convert to fraction form
    8,676.18/13,014.23 = 2,102.34/x
  3. Step 3: Cross multiply
    8,676.18x = 13,014.23 × 2,102.34
  4. Step 4: Simplify right side
    8,676.18x = 27,360,336.30
  5. Step 5: Solve for x
    x = 27,360,336.30/8,676.18
  6. Step 6: Final answer
    x = 3,153.50

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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.