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Finding the Fourth Proportional to 30,009.83, 41,413.07 and 16,582.33

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Solution

The fourth proportional to 30,009.83, 41,413.07 and 16,582.33 is: 22,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009.83 : 41,413.07 = 16,582.33 : x
  2. Step 2: Convert to fraction form
    30,009.83/41,413.07 = 16,582.33/x
  3. Step 3: Cross multiply
    30,009.83x = 41,413.07 × 16,582.33
  4. Step 4: Simplify right side
    30,009.83x = 686,725,193.05
  5. Step 5: Solve for x
    x = 686,725,193.05/30,009.83
  6. Step 6: Final answer
    x = 22,883.34

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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.