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Finding the Fourth Proportional to 14,524.68, 20,040.99 and 9,496.29

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Solution

The fourth proportional to 14,524.68, 20,040.99 and 9,496.29 is: 13,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524.68 : 20,040.99 = 9,496.29 : x
  2. Step 2: Convert to fraction form
    14,524.68/20,040.99 = 9,496.29/x
  3. Step 3: Cross multiply
    14,524.68x = 20,040.99 × 9,496.29
  4. Step 4: Simplify right side
    14,524.68x = 190,315,052.93
  5. Step 5: Solve for x
    x = 190,315,052.93/14,524.68
  6. Step 6: Final answer
    x = 13,102.87

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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.