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Finding the Fourth Proportional to 14,824.16, 20,462.11 and 9,792.84

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Solution

The fourth proportional to 14,824.16, 20,462.11 and 9,792.84 is: 13,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.16 : 20,462.11 = 9,792.84 : x
  2. Step 2: Convert to fraction form
    14,824.16/20,462.11 = 9,792.84/x
  3. Step 3: Cross multiply
    14,824.16x = 20,462.11 × 9,792.84
  4. Step 4: Simplify right side
    14,824.16x = 200,382,221.54
  5. Step 5: Solve for x
    x = 200,382,221.54/14,824.16
  6. Step 6: Final answer
    x = 13,517.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.