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Finding the Fourth Proportional to 13,693.17, 20,578.27 and 8,147.51

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Solution

The fourth proportional to 13,693.17, 20,578.27 and 8,147.51 is: 12,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.17 : 20,578.27 = 8,147.51 : x
  2. Step 2: Convert to fraction form
    13,693.17/20,578.27 = 8,147.51/x
  3. Step 3: Cross multiply
    13,693.17x = 20,578.27 × 8,147.51
  4. Step 4: Simplify right side
    13,693.17x = 167,661,660.61
  5. Step 5: Solve for x
    x = 167,661,660.61/13,693.17
  6. Step 6: Final answer
    x = 12,244.18

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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.