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Finding the Fourth Proportional to 12,380.38, 18,573.67 and 5,798.89

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Solution

The fourth proportional to 12,380.38, 18,573.67 and 5,798.89 is: 8,699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.38 : 18,573.67 = 5,798.89 : x
  2. Step 2: Convert to fraction form
    12,380.38/18,573.67 = 5,798.89/x
  3. Step 3: Cross multiply
    12,380.38x = 18,573.67 × 5,798.89
  4. Step 4: Simplify right side
    12,380.38x = 107,706,699.69
  5. Step 5: Solve for x
    x = 107,706,699.69/12,380.38
  6. Step 6: Final answer
    x = 8,699.79

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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.