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Finding the Fourth Proportional to 12,778.41, 19,168.70 and 3,418.53

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Solution

The fourth proportional to 12,778.41, 19,168.70 and 3,418.53 is: 5,128.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.41 : 19,168.70 = 3,418.53 : x
  2. Step 2: Convert to fraction form
    12,778.41/19,168.70 = 3,418.53/x
  3. Step 3: Cross multiply
    12,778.41x = 19,168.70 × 3,418.53
  4. Step 4: Simplify right side
    12,778.41x = 65,528,758.92
  5. Step 5: Solve for x
    x = 65,528,758.92/12,778.41
  6. Step 6: Final answer
    x = 5,128.08

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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.