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Finding the Fourth Proportional to 13,589.41, 18,753.57 and 8,211.10

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Solution

The fourth proportional to 13,589.41, 18,753.57 and 8,211.10 is: 11,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.41 : 18,753.57 = 8,211.10 : x
  2. Step 2: Convert to fraction form
    13,589.41/18,753.57 = 8,211.10/x
  3. Step 3: Cross multiply
    13,589.41x = 18,753.57 × 8,211.10
  4. Step 4: Simplify right side
    13,589.41x = 153,987,438.63
  5. Step 5: Solve for x
    x = 153,987,438.63/13,589.41
  6. Step 6: Final answer
    x = 11,331.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.