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Finding the Fourth Proportional to 19,829.48, 29,736.52 and 9,961.85

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Solution

The fourth proportional to 19,829.48, 29,736.52 and 9,961.85 is: 14,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.48 : 29,736.52 = 9,961.85 : x
  2. Step 2: Convert to fraction form
    19,829.48/29,736.52 = 9,961.85/x
  3. Step 3: Cross multiply
    19,829.48x = 29,736.52 × 9,961.85
  4. Step 4: Simplify right side
    19,829.48x = 296,230,801.20
  5. Step 5: Solve for x
    x = 296,230,801.20/19,829.48
  6. Step 6: Final answer
    x = 14,938.91

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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.