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Finding the Fourth Proportional to 13,884.01, 20,826.32 and 4,524.01

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Solution

The fourth proportional to 13,884.01, 20,826.32 and 4,524.01 is: 6,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.01 : 20,826.32 = 4,524.01 : x
  2. Step 2: Convert to fraction form
    13,884.01/20,826.32 = 4,524.01/x
  3. Step 3: Cross multiply
    13,884.01x = 20,826.32 × 4,524.01
  4. Step 4: Simplify right side
    13,884.01x = 94,218,479.94
  5. Step 5: Solve for x
    x = 94,218,479.94/13,884.01
  6. Step 6: Final answer
    x = 6,786.11

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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.