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Finding the Fourth Proportional to 19,768.40, 29,664.29 and 7,297.10

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Solution

The fourth proportional to 19,768.40, 29,664.29 and 7,297.10 is: 10,949.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.40 : 29,664.29 = 7,297.10 : x
  2. Step 2: Convert to fraction form
    19,768.40/29,664.29 = 7,297.10/x
  3. Step 3: Cross multiply
    19,768.40x = 29,664.29 × 7,297.10
  4. Step 4: Simplify right side
    19,768.40x = 216,463,105.75
  5. Step 5: Solve for x
    x = 216,463,105.75/19,768.40
  6. Step 6: Final answer
    x = 10,949.96

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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.