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Finding the Fourth Proportional to 12,031.70, 18,051 and 6,108.34

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Solution

The fourth proportional to 12,031.70, 18,051 and 6,108.34 is: 9,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.70 : 18,051 = 6,108.34 : x
  2. Step 2: Convert to fraction form
    12,031.70/18,051 = 6,108.34/x
  3. Step 3: Cross multiply
    12,031.70x = 18,051 × 6,108.34
  4. Step 4: Simplify right side
    12,031.70x = 110,261,690.47
  5. Step 5: Solve for x
    x = 110,261,690.47/12,031.70
  6. Step 6: Final answer
    x = 9,164.27

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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.