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Finding the Fourth Proportional to 19,413.16, 29,116.92 and 9,549.80

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Solution

The fourth proportional to 19,413.16, 29,116.92 and 9,549.80 is: 14,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413.16 : 29,116.92 = 9,549.80 : x
  2. Step 2: Convert to fraction form
    19,413.16/29,116.92 = 9,549.80/x
  3. Step 3: Cross multiply
    19,413.16x = 29,116.92 × 9,549.80
  4. Step 4: Simplify right side
    19,413.16x = 278,060,762.62
  5. Step 5: Solve for x
    x = 278,060,762.62/19,413.16
  6. Step 6: Final answer
    x = 14,323.31

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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.