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Finding the Fourth Proportional to 14,201.70, 21,301.83 and 5,435.94

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Solution

The fourth proportional to 14,201.70, 21,301.83 and 5,435.94 is: 8,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.70 : 21,301.83 = 5,435.94 : x
  2. Step 2: Convert to fraction form
    14,201.70/21,301.83 = 5,435.94/x
  3. Step 3: Cross multiply
    14,201.70x = 21,301.83 × 5,435.94
  4. Step 4: Simplify right side
    14,201.70x = 115,795,469.77
  5. Step 5: Solve for x
    x = 115,795,469.77/14,201.70
  6. Step 6: Final answer
    x = 8,153.63

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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.