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Finding the Fourth Proportional to 11,589.74, 17,384.58 and 8,142.38

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Solution

The fourth proportional to 11,589.74, 17,384.58 and 8,142.38 is: 12,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.74 : 17,384.58 = 8,142.38 : x
  2. Step 2: Convert to fraction form
    11,589.74/17,384.58 = 8,142.38/x
  3. Step 3: Cross multiply
    11,589.74x = 17,384.58 × 8,142.38
  4. Step 4: Simplify right side
    11,589.74x = 141,551,856.50
  5. Step 5: Solve for x
    x = 141,551,856.50/11,589.74
  6. Step 6: Final answer
    x = 12,213.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.