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Finding the Fourth Proportional to 13,489.83, 18,609.35 and 9,014.67

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Solution

The fourth proportional to 13,489.83, 18,609.35 and 9,014.67 is: 12,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.83 : 18,609.35 = 9,014.67 : x
  2. Step 2: Convert to fraction form
    13,489.83/18,609.35 = 9,014.67/x
  3. Step 3: Cross multiply
    13,489.83x = 18,609.35 × 9,014.67
  4. Step 4: Simplify right side
    13,489.83x = 167,757,104.09
  5. Step 5: Solve for x
    x = 167,757,104.09/13,489.83
  6. Step 6: Final answer
    x = 12,435.82

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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.