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Finding the Fourth Proportional to 12,174.86, 18,270.50 and 4,778.45

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Solution

The fourth proportional to 12,174.86, 18,270.50 and 4,778.45 is: 7,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.86 : 18,270.50 = 4,778.45 : x
  2. Step 2: Convert to fraction form
    12,174.86/18,270.50 = 4,778.45/x
  3. Step 3: Cross multiply
    12,174.86x = 18,270.50 × 4,778.45
  4. Step 4: Simplify right side
    12,174.86x = 87,304,555.48
  5. Step 5: Solve for x
    x = 87,304,555.48/12,174.86
  6. Step 6: Final answer
    x = 7,170.89

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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.