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Finding the Fourth Proportional to 18,222.63, 27,333.97 and 5,075

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Solution

The fourth proportional to 18,222.63, 27,333.97 and 5,075 is: 7,612.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,222.63 : 27,333.97 = 5,075 : x
  2. Step 2: Convert to fraction form
    18,222.63/27,333.97 = 5,075/x
  3. Step 3: Cross multiply
    18,222.63x = 27,333.97 × 5,075
  4. Step 4: Simplify right side
    18,222.63x = 138,719,897.75
  5. Step 5: Solve for x
    x = 138,719,897.75/18,222.63
  6. Step 6: Final answer
    x = 7,612.51

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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.