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Finding the Fourth Proportional to 13,364.65, 20,046.56 and 6,349.71

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Solution

The fourth proportional to 13,364.65, 20,046.56 and 6,349.71 is: 9,524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.65 : 20,046.56 = 6,349.71 : x
  2. Step 2: Convert to fraction form
    13,364.65/20,046.56 = 6,349.71/x
  3. Step 3: Cross multiply
    13,364.65x = 20,046.56 × 6,349.71
  4. Step 4: Simplify right side
    13,364.65x = 127,289,773.16
  5. Step 5: Solve for x
    x = 127,289,773.16/13,364.65
  6. Step 6: Final answer
    x = 9,524.37

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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.