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Finding the Fourth Proportional to 13,785.35, 20,678.02 and 5,994.16

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Solution

The fourth proportional to 13,785.35, 20,678.02 and 5,994.16 is: 8,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.35 : 20,678.02 = 5,994.16 : x
  2. Step 2: Convert to fraction form
    13,785.35/20,678.02 = 5,994.16/x
  3. Step 3: Cross multiply
    13,785.35x = 20,678.02 × 5,994.16
  4. Step 4: Simplify right side
    13,785.35x = 123,947,227.00
  5. Step 5: Solve for x
    x = 123,947,227.00/13,785.35
  6. Step 6: Final answer
    x = 8,991.23

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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.