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Finding the Fourth Proportional to 18,189.65, 27,289.74 and 6,503.78

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Solution

The fourth proportional to 18,189.65, 27,289.74 and 6,503.78 is: 9,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,189.65 : 27,289.74 = 6,503.78 : x
  2. Step 2: Convert to fraction form
    18,189.65/27,289.74 = 6,503.78/x
  3. Step 3: Cross multiply
    18,189.65x = 27,289.74 × 6,503.78
  4. Step 4: Simplify right side
    18,189.65x = 177,486,465.22
  5. Step 5: Solve for x
    x = 177,486,465.22/18,189.65
  6. Step 6: Final answer
    x = 9,757.55

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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.