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Finding the Fourth Proportional to 19,413.70, 29,114.23 and 6,263

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Solution

The fourth proportional to 19,413.70, 29,114.23 and 6,263 is: 9,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413.70 : 29,114.23 = 6,263 : x
  2. Step 2: Convert to fraction form
    19,413.70/29,114.23 = 6,263/x
  3. Step 3: Cross multiply
    19,413.70x = 29,114.23 × 6,263
  4. Step 4: Simplify right side
    19,413.70x = 182,342,422.49
  5. Step 5: Solve for x
    x = 182,342,422.49/19,413.70
  6. Step 6: Final answer
    x = 9,392.46

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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.