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Finding the Fourth Proportional to 11,589.71, 17,384.61 and 8,142.35

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Solution

The fourth proportional to 11,589.71, 17,384.61 and 8,142.35 is: 12,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.71 : 17,384.61 = 8,142.35 : x
  2. Step 2: Convert to fraction form
    11,589.71/17,384.61 = 8,142.35/x
  3. Step 3: Cross multiply
    11,589.71x = 17,384.61 × 8,142.35
  4. Step 4: Simplify right side
    11,589.71x = 141,551,579.23
  5. Step 5: Solve for x
    x = 141,551,579.23/11,589.71
  6. Step 6: Final answer
    x = 12,213.56

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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.