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Finding the Fourth Proportional to 18,590.96, 27,884.28 and 6,902.84

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Solution

The fourth proportional to 18,590.96, 27,884.28 and 6,902.84 is: 10,353.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,590.96 : 27,884.28 = 6,902.84 : x
  2. Step 2: Convert to fraction form
    18,590.96/27,884.28 = 6,902.84/x
  3. Step 3: Cross multiply
    18,590.96x = 27,884.28 × 6,902.84
  4. Step 4: Simplify right side
    18,590.96x = 192,480,723.36
  5. Step 5: Solve for x
    x = 192,480,723.36/18,590.96
  6. Step 6: Final answer
    x = 10,353.46

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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.