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Finding the Fourth Proportional to 14,378, 21,568.22 and 3,989.75

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Solution

The fourth proportional to 14,378, 21,568.22 and 3,989.75 is: 5,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378 : 21,568.22 = 3,989.75 : x
  2. Step 2: Convert to fraction form
    14,378/21,568.22 = 3,989.75/x
  3. Step 3: Cross multiply
    14,378x = 21,568.22 × 3,989.75
  4. Step 4: Simplify right side
    14,378x = 86,051,785.80
  5. Step 5: Solve for x
    x = 86,051,785.80/14,378
  6. Step 6: Final answer
    x = 5,984.96

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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.