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Finding the Fourth Proportional to 19,964.60, 29,949.64 and 6,813.44

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Solution

The fourth proportional to 19,964.60, 29,949.64 and 6,813.44 is: 10,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,964.60 : 29,949.64 = 6,813.44 : x
  2. Step 2: Convert to fraction form
    19,964.60/29,949.64 = 6,813.44/x
  3. Step 3: Cross multiply
    19,964.60x = 29,949.64 × 6,813.44
  4. Step 4: Simplify right side
    19,964.60x = 204,060,075.16
  5. Step 5: Solve for x
    x = 204,060,075.16/19,964.60
  6. Step 6: Final answer
    x = 10,221.10

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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.