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Finding the Fourth Proportional to 43,201.38, 64,805.56 and 13,222.20

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Solution

The fourth proportional to 43,201.38, 64,805.56 and 13,222.20 is: 19,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,201.38 : 64,805.56 = 13,222.20 : x
  2. Step 2: Convert to fraction form
    43,201.38/64,805.56 = 13,222.20/x
  3. Step 3: Cross multiply
    43,201.38x = 64,805.56 × 13,222.20
  4. Step 4: Simplify right side
    43,201.38x = 856,872,075.43
  5. Step 5: Solve for x
    x = 856,872,075.43/43,201.38
  6. Step 6: Final answer
    x = 19,834.37

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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.