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Finding the Fourth Proportional to 13,668.65, 20,505.76 and 5,234.55

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Solution

The fourth proportional to 13,668.65, 20,505.76 and 5,234.55 is: 7,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668.65 : 20,505.76 = 5,234.55 : x
  2. Step 2: Convert to fraction form
    13,668.65/20,505.76 = 5,234.55/x
  3. Step 3: Cross multiply
    13,668.65x = 20,505.76 × 5,234.55
  4. Step 4: Simplify right side
    13,668.65x = 107,338,399.84
  5. Step 5: Solve for x
    x = 107,338,399.84/13,668.65
  6. Step 6: Final answer
    x = 7,852.89

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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.