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Finding the Fourth Proportional to 13,683.58, 18,882.39 and 8,093.50

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Solution

The fourth proportional to 13,683.58, 18,882.39 and 8,093.50 is: 11,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.58 : 18,882.39 = 8,093.50 : x
  2. Step 2: Convert to fraction form
    13,683.58/18,882.39 = 8,093.50/x
  3. Step 3: Cross multiply
    13,683.58x = 18,882.39 × 8,093.50
  4. Step 4: Simplify right side
    13,683.58x = 152,824,623.47
  5. Step 5: Solve for x
    x = 152,824,623.47/13,683.58
  6. Step 6: Final answer
    x = 11,168.47

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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.