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Finding the Fourth Proportional to 13,589.94, 18,754.29 and 8,211.62

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Solution

The fourth proportional to 13,589.94, 18,754.29 and 8,211.62 is: 11,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.94 : 18,754.29 = 8,211.62 : x
  2. Step 2: Convert to fraction form
    13,589.94/18,754.29 = 8,211.62/x
  3. Step 3: Cross multiply
    13,589.94x = 18,754.29 × 8,211.62
  4. Step 4: Simplify right side
    13,589.94x = 154,003,009.08
  5. Step 5: Solve for x
    x = 154,003,009.08/13,589.94
  6. Step 6: Final answer
    x = 11,332.13

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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.