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Finding the Fourth Proportional to 13,683.08, 18,881.70 and 8,093

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Solution

The fourth proportional to 13,683.08, 18,881.70 and 8,093 is: 11,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.08 : 18,881.70 = 8,093 : x
  2. Step 2: Convert to fraction form
    13,683.08/18,881.70 = 8,093/x
  3. Step 3: Cross multiply
    13,683.08x = 18,881.70 × 8,093
  4. Step 4: Simplify right side
    13,683.08x = 152,809,598.10
  5. Step 5: Solve for x
    x = 152,809,598.10/13,683.08
  6. Step 6: Final answer
    x = 11,167.78

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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.