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Finding the Fourth Proportional to 13,697.87, 18,906.68 and 8,033.45

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Solution

The fourth proportional to 13,697.87, 18,906.68 and 8,033.45 is: 11,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.87 : 18,906.68 = 8,033.45 : x
  2. Step 2: Convert to fraction form
    13,697.87/18,906.68 = 8,033.45/x
  3. Step 3: Cross multiply
    13,697.87x = 18,906.68 × 8,033.45
  4. Step 4: Simplify right side
    13,697.87x = 151,885,828.28
  5. Step 5: Solve for x
    x = 151,885,828.28/13,697.87
  6. Step 6: Final answer
    x = 11,088.28

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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.