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Finding the Fourth Proportional to 13,746.50, 18,969.01 and 8,081.43

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Solution

The fourth proportional to 13,746.50, 18,969.01 and 8,081.43 is: 11,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.50 : 18,969.01 = 8,081.43 : x
  2. Step 2: Convert to fraction form
    13,746.50/18,969.01 = 8,081.43/x
  3. Step 3: Cross multiply
    13,746.50x = 18,969.01 × 8,081.43
  4. Step 4: Simplify right side
    13,746.50x = 153,296,706.28
  5. Step 5: Solve for x
    x = 153,296,706.28/13,746.50
  6. Step 6: Final answer
    x = 11,151.69

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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.