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Finding the Fourth Proportional to 14,201.80, 21,301.98 and 3,813.64

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Solution

The fourth proportional to 14,201.80, 21,301.98 and 3,813.64 is: 5,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.80 : 21,301.98 = 3,813.64 : x
  2. Step 2: Convert to fraction form
    14,201.80/21,301.98 = 3,813.64/x
  3. Step 3: Cross multiply
    14,201.80x = 21,301.98 × 3,813.64
  4. Step 4: Simplify right side
    14,201.80x = 81,238,083.01
  5. Step 5: Solve for x
    x = 81,238,083.01/14,201.80
  6. Step 6: Final answer
    x = 5,720.27

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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.