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Finding the Fourth Proportional to 13,453.74, 20,169.27 and 6,429.78

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Solution

The fourth proportional to 13,453.74, 20,169.27 and 6,429.78 is: 9,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.74 : 20,169.27 = 6,429.78 : x
  2. Step 2: Convert to fraction form
    13,453.74/20,169.27 = 6,429.78/x
  3. Step 3: Cross multiply
    13,453.74x = 20,169.27 × 6,429.78
  4. Step 4: Simplify right side
    13,453.74x = 129,683,968.86
  5. Step 5: Solve for x
    x = 129,683,968.86/13,453.74
  6. Step 6: Final answer
    x = 9,639.25

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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.