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Finding the Fourth Proportional to 14,784.84, 20,413.32 and 13,843.80

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Solution

The fourth proportional to 14,784.84, 20,413.32 and 13,843.80 is: 19,114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.84 : 20,413.32 = 13,843.80 : x
  2. Step 2: Convert to fraction form
    14,784.84/20,413.32 = 13,843.80/x
  3. Step 3: Cross multiply
    14,784.84x = 20,413.32 × 13,843.80
  4. Step 4: Simplify right side
    14,784.84x = 282,597,919.42
  5. Step 5: Solve for x
    x = 282,597,919.42/14,784.84
  6. Step 6: Final answer
    x = 19,114.03

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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.