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Finding the Fourth Proportional to 18,297.50, 27,438.48 and 5,814.18

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Solution

The fourth proportional to 18,297.50, 27,438.48 and 5,814.18 is: 8,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,297.50 : 27,438.48 = 5,814.18 : x
  2. Step 2: Convert to fraction form
    18,297.50/27,438.48 = 5,814.18/x
  3. Step 3: Cross multiply
    18,297.50x = 27,438.48 × 5,814.18
  4. Step 4: Simplify right side
    18,297.50x = 159,532,261.65
  5. Step 5: Solve for x
    x = 159,532,261.65/18,297.50
  6. Step 6: Final answer
    x = 8,718.80

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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.