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Finding the Fourth Proportional to 36,116.34, 54,174.24 and 9,820.86

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Solution

The fourth proportional to 36,116.34, 54,174.24 and 9,820.86 is: 14,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,116.34 : 54,174.24 = 9,820.86 : x
  2. Step 2: Convert to fraction form
    36,116.34/54,174.24 = 9,820.86/x
  3. Step 3: Cross multiply
    36,116.34x = 54,174.24 × 9,820.86
  4. Step 4: Simplify right side
    36,116.34x = 532,037,626.65
  5. Step 5: Solve for x
    x = 532,037,626.65/36,116.34
  6. Step 6: Final answer
    x = 14,731.22

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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.