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Finding the Fourth Proportional to 19,456.89, 29,197.14 and 7,769.13

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Solution

The fourth proportional to 19,456.89, 29,197.14 and 7,769.13 is: 11,658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,456.89 : 29,197.14 = 7,769.13 : x
  2. Step 2: Convert to fraction form
    19,456.89/29,197.14 = 7,769.13/x
  3. Step 3: Cross multiply
    19,456.89x = 29,197.14 × 7,769.13
  4. Step 4: Simplify right side
    19,456.89x = 226,836,376.29
  5. Step 5: Solve for x
    x = 226,836,376.29/19,456.89
  6. Step 6: Final answer
    x = 11,658.41

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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.