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Finding the Fourth Proportional to 19,740.81, 29,613.21 and 6,413.25

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Solution

The fourth proportional to 19,740.81, 29,613.21 and 6,413.25 is: 9,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,740.81 : 29,613.21 = 6,413.25 : x
  2. Step 2: Convert to fraction form
    19,740.81/29,613.21 = 6,413.25/x
  3. Step 3: Cross multiply
    19,740.81x = 29,613.21 × 6,413.25
  4. Step 4: Simplify right side
    19,740.81x = 189,916,919.03
  5. Step 5: Solve for x
    x = 189,916,919.03/19,740.81
  6. Step 6: Final answer
    x = 9,620.52

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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.