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Finding the Fourth Proportional to 12,774.40, 19,118.40 and 11,219.20

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Solution

The fourth proportional to 12,774.40, 19,118.40 and 11,219.20 is: 16,790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.40 : 19,118.40 = 11,219.20 : x
  2. Step 2: Convert to fraction form
    12,774.40/19,118.40 = 11,219.20/x
  3. Step 3: Cross multiply
    12,774.40x = 19,118.40 × 11,219.20
  4. Step 4: Simplify right side
    12,774.40x = 214,493,153.28
  5. Step 5: Solve for x
    x = 214,493,153.28/12,774.40
  6. Step 6: Final answer
    x = 16,790.86

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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.