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Finding the Fourth Proportional to 13,193.42, 18,205.97 and 7,224.12

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Solution

The fourth proportional to 13,193.42, 18,205.97 and 7,224.12 is: 9,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.42 : 18,205.97 = 7,224.12 : x
  2. Step 2: Convert to fraction form
    13,193.42/18,205.97 = 7,224.12/x
  3. Step 3: Cross multiply
    13,193.42x = 18,205.97 × 7,224.12
  4. Step 4: Simplify right side
    13,193.42x = 131,522,075.88
  5. Step 5: Solve for x
    x = 131,522,075.88/13,193.42
  6. Step 6: Final answer
    x = 9,968.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.