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Finding the Fourth Proportional to 19,829.48, 29,736.50 and 9,961.88

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Solution

The fourth proportional to 19,829.48, 29,736.50 and 9,961.88 is: 14,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.48 : 29,736.50 = 9,961.88 : x
  2. Step 2: Convert to fraction form
    19,829.48/29,736.50 = 9,961.88/x
  3. Step 3: Cross multiply
    19,829.48x = 29,736.50 × 9,961.88
  4. Step 4: Simplify right side
    19,829.48x = 296,231,246.13
  5. Step 5: Solve for x
    x = 296,231,246.13/19,829.48
  6. Step 6: Final answer
    x = 14,938.94

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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.