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Finding the Fourth Proportional to 13,878.08, 20,817.06 and 6,478.43

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Solution

The fourth proportional to 13,878.08, 20,817.06 and 6,478.43 is: 9,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.08 : 20,817.06 = 6,478.43 : x
  2. Step 2: Convert to fraction form
    13,878.08/20,817.06 = 6,478.43/x
  3. Step 3: Cross multiply
    13,878.08x = 20,817.06 × 6,478.43
  4. Step 4: Simplify right side
    13,878.08x = 134,861,761.93
  5. Step 5: Solve for x
    x = 134,861,761.93/13,878.08
  6. Step 6: Final answer
    x = 9,717.61

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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.