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Finding the Fourth Proportional to 13,193.98, 19,818.52 and 11,219.30

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Solution

The fourth proportional to 13,193.98, 19,818.52 and 11,219.30 is: 16,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.98 : 19,818.52 = 11,219.30 : x
  2. Step 2: Convert to fraction form
    13,193.98/19,818.52 = 11,219.30/x
  3. Step 3: Cross multiply
    13,193.98x = 19,818.52 × 11,219.30
  4. Step 4: Simplify right side
    13,193.98x = 222,349,921.44
  5. Step 5: Solve for x
    x = 222,349,921.44/13,193.98
  6. Step 6: Final answer
    x = 16,852.38

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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.