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Finding the Fourth Proportional to 13,396.47, 20,093.66 and 5,075.73

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Solution

The fourth proportional to 13,396.47, 20,093.66 and 5,075.73 is: 7,613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396.47 : 20,093.66 = 5,075.73 : x
  2. Step 2: Convert to fraction form
    13,396.47/20,093.66 = 5,075.73/x
  3. Step 3: Cross multiply
    13,396.47x = 20,093.66 × 5,075.73
  4. Step 4: Simplify right side
    13,396.47x = 101,989,967.49
  5. Step 5: Solve for x
    x = 101,989,967.49/13,396.47
  6. Step 6: Final answer
    x = 7,613.20

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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.