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Finding the Fourth Proportional to 12,677.24, 19,015.74 and 3,443.24

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Solution

The fourth proportional to 12,677.24, 19,015.74 and 3,443.24 is: 5,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.24 : 19,015.74 = 3,443.24 : x
  2. Step 2: Convert to fraction form
    12,677.24/19,015.74 = 3,443.24/x
  3. Step 3: Cross multiply
    12,677.24x = 19,015.74 × 3,443.24
  4. Step 4: Simplify right side
    12,677.24x = 65,475,756.60
  5. Step 5: Solve for x
    x = 65,475,756.60/12,677.24
  6. Step 6: Final answer
    x = 5,164.83

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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.