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Finding the Fourth Proportional to 13,806.36, 20,697.84 and 6,009.24

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Solution

The fourth proportional to 13,806.36, 20,697.84 and 6,009.24 is: 9,008.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.36 : 20,697.84 = 6,009.24 : x
  2. Step 2: Convert to fraction form
    13,806.36/20,697.84 = 6,009.24/x
  3. Step 3: Cross multiply
    13,806.36x = 20,697.84 × 6,009.24
  4. Step 4: Simplify right side
    13,806.36x = 124,378,288.04
  5. Step 5: Solve for x
    x = 124,378,288.04/13,806.36
  6. Step 6: Final answer
    x = 9,008.77

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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.