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Finding the Fourth Proportional to 13,854.92, 20,794.73 and 6,463.53

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Solution

The fourth proportional to 13,854.92, 20,794.73 and 6,463.53 is: 9,701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.92 : 20,794.73 = 6,463.53 : x
  2. Step 2: Convert to fraction form
    13,854.92/20,794.73 = 6,463.53/x
  3. Step 3: Cross multiply
    13,854.92x = 20,794.73 × 6,463.53
  4. Step 4: Simplify right side
    13,854.92x = 134,407,328.88
  5. Step 5: Solve for x
    x = 134,407,328.88/13,854.92
  6. Step 6: Final answer
    x = 9,701.06

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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.