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Finding the Fourth Proportional to 12,813.60, 19,220.40 and 11,863.20

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Solution

The fourth proportional to 12,813.60, 19,220.40 and 11,863.20 is: 17,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.60 : 19,220.40 = 11,863.20 : x
  2. Step 2: Convert to fraction form
    12,813.60/19,220.40 = 11,863.20/x
  3. Step 3: Cross multiply
    12,813.60x = 19,220.40 × 11,863.20
  4. Step 4: Simplify right side
    12,813.60x = 228,015,449.28
  5. Step 5: Solve for x
    x = 228,015,449.28/12,813.60
  6. Step 6: Final answer
    x = 17,794.80

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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.