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Finding the Fourth Proportional to 19,738.44, 29,607.78 and 7,893.20

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Solution

The fourth proportional to 19,738.44, 29,607.78 and 7,893.20 is: 11,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,738.44 : 29,607.78 = 7,893.20 : x
  2. Step 2: Convert to fraction form
    19,738.44/29,607.78 = 7,893.20/x
  3. Step 3: Cross multiply
    19,738.44x = 29,607.78 × 7,893.20
  4. Step 4: Simplify right side
    19,738.44x = 233,700,232.71
  5. Step 5: Solve for x
    x = 233,700,232.71/19,738.44
  6. Step 6: Final answer
    x = 11,839.85

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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.