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Finding the Fourth Proportional to 36,680.16, 55,024.12 and 11,714.34

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Solution

The fourth proportional to 36,680.16, 55,024.12 and 11,714.34 is: 17,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,680.16 : 55,024.12 = 11,714.34 : x
  2. Step 2: Convert to fraction form
    36,680.16/55,024.12 = 11,714.34/x
  3. Step 3: Cross multiply
    36,680.16x = 55,024.12 × 11,714.34
  4. Step 4: Simplify right side
    36,680.16x = 644,571,249.88
  5. Step 5: Solve for x
    x = 644,571,249.88/36,680.16
  6. Step 6: Final answer
    x = 17,572.75

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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.