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Finding the Fourth Proportional to 21,413.90, 29,550.21 and 11,854.14

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Solution

The fourth proportional to 21,413.90, 29,550.21 and 11,854.14 is: 16,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.90 : 29,550.21 = 11,854.14 : x
  2. Step 2: Convert to fraction form
    21,413.90/29,550.21 = 11,854.14/x
  3. Step 3: Cross multiply
    21,413.90x = 29,550.21 × 11,854.14
  4. Step 4: Simplify right side
    21,413.90x = 350,292,326.37
  5. Step 5: Solve for x
    x = 350,292,326.37/21,413.90
  6. Step 6: Final answer
    x = 16,358.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.