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Finding the Fourth Proportional to 14,604.42, 20,160.78 and 9,568.80

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Solution

The fourth proportional to 14,604.42, 20,160.78 and 9,568.80 is: 13,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.42 : 20,160.78 = 9,568.80 : x
  2. Step 2: Convert to fraction form
    14,604.42/20,160.78 = 9,568.80/x
  3. Step 3: Cross multiply
    14,604.42x = 20,160.78 × 9,568.80
  4. Step 4: Simplify right side
    14,604.42x = 192,914,471.66
  5. Step 5: Solve for x
    x = 192,914,471.66/14,604.42
  6. Step 6: Final answer
    x = 13,209.32

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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.