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Finding the Fourth Proportional to 12,034.70, 18,054.03 and 3,714.44

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Solution

The fourth proportional to 12,034.70, 18,054.03 and 3,714.44 is: 5,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.70 : 18,054.03 = 3,714.44 : x
  2. Step 2: Convert to fraction form
    12,034.70/18,054.03 = 3,714.44/x
  3. Step 3: Cross multiply
    12,034.70x = 18,054.03 × 3,714.44
  4. Step 4: Simplify right side
    12,034.70x = 67,060,611.19
  5. Step 5: Solve for x
    x = 67,060,611.19/12,034.70
  6. Step 6: Final answer
    x = 5,572.27

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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.