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Finding the Fourth Proportional to 12,768.60, 19,151.36 and 3,409.32

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Solution

The fourth proportional to 12,768.60, 19,151.36 and 3,409.32 is: 5,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.60 : 19,151.36 = 3,409.32 : x
  2. Step 2: Convert to fraction form
    12,768.60/19,151.36 = 3,409.32/x
  3. Step 3: Cross multiply
    12,768.60x = 19,151.36 × 3,409.32
  4. Step 4: Simplify right side
    12,768.60x = 65,293,114.68
  5. Step 5: Solve for x
    x = 65,293,114.68/12,768.60
  6. Step 6: Final answer
    x = 5,113.57

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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.