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Finding the Fourth Proportional to 13,682.48, 20,528.04 and 5,894.96

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Solution

The fourth proportional to 13,682.48, 20,528.04 and 5,894.96 is: 8,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.48 : 20,528.04 = 5,894.96 : x
  2. Step 2: Convert to fraction form
    13,682.48/20,528.04 = 5,894.96/x
  3. Step 3: Cross multiply
    13,682.48x = 20,528.04 × 5,894.96
  4. Step 4: Simplify right side
    13,682.48x = 121,011,974.68
  5. Step 5: Solve for x
    x = 121,011,974.68/13,682.48
  6. Step 6: Final answer
    x = 8,844.30

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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.