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Finding the Fourth Proportional to 21,413.84, 32,149.80 and 12,060.36

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Solution

The fourth proportional to 21,413.84, 32,149.80 and 12,060.36 is: 18,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.84 : 32,149.80 = 12,060.36 : x
  2. Step 2: Convert to fraction form
    21,413.84/32,149.80 = 12,060.36/x
  3. Step 3: Cross multiply
    21,413.84x = 32,149.80 × 12,060.36
  4. Step 4: Simplify right side
    21,413.84x = 387,738,161.93
  5. Step 5: Solve for x
    x = 387,738,161.93/21,413.84
  6. Step 6: Final answer
    x = 18,106.90

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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.