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Finding the Fourth Proportional to 19,413.19, 29,121.01 and 5,181.40

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Solution

The fourth proportional to 19,413.19, 29,121.01 and 5,181.40 is: 7,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413.19 : 29,121.01 = 5,181.40 : x
  2. Step 2: Convert to fraction form
    19,413.19/29,121.01 = 5,181.40/x
  3. Step 3: Cross multiply
    19,413.19x = 29,121.01 × 5,181.40
  4. Step 4: Simplify right side
    19,413.19x = 150,887,429.70
  5. Step 5: Solve for x
    x = 150,887,429.70/19,413.19
  6. Step 6: Final answer
    x = 7,772.42

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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.