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Finding the Fourth Proportional to 14,138.70, 21,216.21 and 7,568.56

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Solution

The fourth proportional to 14,138.70, 21,216.21 and 7,568.56 is: 11,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.70 : 21,216.21 = 7,568.56 : x
  2. Step 2: Convert to fraction form
    14,138.70/21,216.21 = 7,568.56/x
  3. Step 3: Cross multiply
    14,138.70x = 21,216.21 × 7,568.56
  4. Step 4: Simplify right side
    14,138.70x = 160,576,158.36
  5. Step 5: Solve for x
    x = 160,576,158.36/14,138.70
  6. Step 6: Final answer
    x = 11,357.21

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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.