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Finding the Fourth Proportional to 19,647.90, 29,484 and 7,961.22

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Solution

The fourth proportional to 19,647.90, 29,484 and 7,961.22 is: 11,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.90 : 29,484 = 7,961.22 : x
  2. Step 2: Convert to fraction form
    19,647.90/29,484 = 7,961.22/x
  3. Step 3: Cross multiply
    19,647.90x = 29,484 × 7,961.22
  4. Step 4: Simplify right side
    19,647.90x = 234,728,610.48
  5. Step 5: Solve for x
    x = 234,728,610.48/19,647.90
  6. Step 6: Final answer
    x = 11,946.75

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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.