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Finding the Fourth Proportional to 17,842.78, 26,805.19 and 12,589.89

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Solution

The fourth proportional to 17,842.78, 26,805.19 and 12,589.89 is: 18,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.78 : 26,805.19 = 12,589.89 : x
  2. Step 2: Convert to fraction form
    17,842.78/26,805.19 = 12,589.89/x
  3. Step 3: Cross multiply
    17,842.78x = 26,805.19 × 12,589.89
  4. Step 4: Simplify right side
    17,842.78x = 337,474,393.53
  5. Step 5: Solve for x
    x = 337,474,393.53/17,842.78
  6. Step 6: Final answer
    x = 18,913.78

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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.