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Finding the Fourth Proportional to 13,606.18, 20,400.39 and 5,713.74

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Solution

The fourth proportional to 13,606.18, 20,400.39 and 5,713.74 is: 8,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,606.18 : 20,400.39 = 5,713.74 : x
  2. Step 2: Convert to fraction form
    13,606.18/20,400.39 = 5,713.74/x
  3. Step 3: Cross multiply
    13,606.18x = 20,400.39 × 5,713.74
  4. Step 4: Simplify right side
    13,606.18x = 116,562,524.36
  5. Step 5: Solve for x
    x = 116,562,524.36/13,606.18
  6. Step 6: Final answer
    x = 8,566.88

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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.