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Finding the Fourth Proportional to 13,771.65, 20,658.83 and 4,409.31

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Solution

The fourth proportional to 13,771.65, 20,658.83 and 4,409.31 is: 6,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.65 : 20,658.83 = 4,409.31 : x
  2. Step 2: Convert to fraction form
    13,771.65/20,658.83 = 4,409.31/x
  3. Step 3: Cross multiply
    13,771.65x = 20,658.83 × 4,409.31
  4. Step 4: Simplify right side
    13,771.65x = 91,091,185.71
  5. Step 5: Solve for x
    x = 91,091,185.71/13,771.65
  6. Step 6: Final answer
    x = 6,614.40

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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.