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Finding the Fourth Proportional to 12,031.70, 18,047.55 and 5,105.30

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Solution

The fourth proportional to 12,031.70, 18,047.55 and 5,105.30 is: 7,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.70 : 18,047.55 = 5,105.30 : x
  2. Step 2: Convert to fraction form
    12,031.70/18,047.55 = 5,105.30/x
  3. Step 3: Cross multiply
    12,031.70x = 18,047.55 × 5,105.30
  4. Step 4: Simplify right side
    12,031.70x = 92,138,157.02
  5. Step 5: Solve for x
    x = 92,138,157.02/12,031.70
  6. Step 6: Final answer
    x = 7,657.95

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