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Finding the Fourth Proportional to 13,489.89, 18,615.62 and 8,456.86

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Solution

The fourth proportional to 13,489.89, 18,615.62 and 8,456.86 is: 11,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.89 : 18,615.62 = 8,456.86 : x
  2. Step 2: Convert to fraction form
    13,489.89/18,615.62 = 8,456.86/x
  3. Step 3: Cross multiply
    13,489.89x = 18,615.62 × 8,456.86
  4. Step 4: Simplify right side
    13,489.89x = 157,429,631.85
  5. Step 5: Solve for x
    x = 157,429,631.85/13,489.89
  6. Step 6: Final answer
    x = 11,670.19

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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.