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Finding the Fourth Proportional to 18,923.67, 28,383.48 and 5,785.20

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Solution

The fourth proportional to 18,923.67, 28,383.48 and 5,785.20 is: 8,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,923.67 : 28,383.48 = 5,785.20 : x
  2. Step 2: Convert to fraction form
    18,923.67/28,383.48 = 5,785.20/x
  3. Step 3: Cross multiply
    18,923.67x = 28,383.48 × 5,785.20
  4. Step 4: Simplify right side
    18,923.67x = 164,204,108.50
  5. Step 5: Solve for x
    x = 164,204,108.50/18,923.67
  6. Step 6: Final answer
    x = 8,677.18

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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.