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Finding the Fourth Proportional to 19,858, 29,768.19 and 7,369.54

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Solution

The fourth proportional to 19,858, 29,768.19 and 7,369.54 is: 11,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,858 : 29,768.19 = 7,369.54 : x
  2. Step 2: Convert to fraction form
    19,858/29,768.19 = 7,369.54/x
  3. Step 3: Cross multiply
    19,858x = 29,768.19 × 7,369.54
  4. Step 4: Simplify right side
    19,858x = 219,377,866.93
  5. Step 5: Solve for x
    x = 219,377,866.93/19,858
  6. Step 6: Final answer
    x = 11,047.33

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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.