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Finding the Fourth Proportional to 19,964.40, 29,946.60 and 6,812.40

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Solution

The fourth proportional to 19,964.40, 29,946.60 and 6,812.40 is: 10,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,964.40 : 29,946.60 = 6,812.40 : x
  2. Step 2: Convert to fraction form
    19,964.40/29,946.60 = 6,812.40/x
  3. Step 3: Cross multiply
    19,964.40x = 29,946.60 × 6,812.40
  4. Step 4: Simplify right side
    19,964.40x = 204,008,217.84
  5. Step 5: Solve for x
    x = 204,008,217.84/19,964.40
  6. Step 6: Final answer
    x = 10,218.60

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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.