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Finding the Fourth Proportional to 12,396.12, 18,594.77 and 4,075.95

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Solution

The fourth proportional to 12,396.12, 18,594.77 and 4,075.95 is: 6,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.12 : 18,594.77 = 4,075.95 : x
  2. Step 2: Convert to fraction form
    12,396.12/18,594.77 = 4,075.95/x
  3. Step 3: Cross multiply
    12,396.12x = 18,594.77 × 4,075.95
  4. Step 4: Simplify right side
    12,396.12x = 75,791,310.26
  5. Step 5: Solve for x
    x = 75,791,310.26/12,396.12
  6. Step 6: Final answer
    x = 6,114.12

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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.