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Finding the Fourth Proportional to 14,600.40, 20,150.42 and 9,568.88

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Solution

The fourth proportional to 14,600.40, 20,150.42 and 9,568.88 is: 13,206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.40 : 20,150.42 = 9,568.88 : x
  2. Step 2: Convert to fraction form
    14,600.40/20,150.42 = 9,568.88/x
  3. Step 3: Cross multiply
    14,600.40x = 20,150.42 × 9,568.88
  4. Step 4: Simplify right side
    14,600.40x = 192,816,950.93
  5. Step 5: Solve for x
    x = 192,816,950.93/14,600.40
  6. Step 6: Final answer
    x = 13,206.28

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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.