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Finding the Fourth Proportional to 19,413.51, 29,100.07 and 13,174.08

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Solution

The fourth proportional to 19,413.51, 29,100.07 and 13,174.08 is: 19,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413.51 : 29,100.07 = 13,174.08 : x
  2. Step 2: Convert to fraction form
    19,413.51/29,100.07 = 13,174.08/x
  3. Step 3: Cross multiply
    19,413.51x = 29,100.07 × 13,174.08
  4. Step 4: Simplify right side
    19,413.51x = 383,366,650.19
  5. Step 5: Solve for x
    x = 383,366,650.19/19,413.51
  6. Step 6: Final answer
    x = 19,747.42

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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.