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Finding the Fourth Proportional to 21,144.80, 31,765.82 and 14,919.16

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Solution

The fourth proportional to 21,144.80, 31,765.82 and 14,919.16 is: 22,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144.80 : 31,765.82 = 14,919.16 : x
  2. Step 2: Convert to fraction form
    21,144.80/31,765.82 = 14,919.16/x
  3. Step 3: Cross multiply
    21,144.80x = 31,765.82 × 14,919.16
  4. Step 4: Simplify right side
    21,144.80x = 473,919,351.11
  5. Step 5: Solve for x
    x = 473,919,351.11/21,144.80
  6. Step 6: Final answer
    x = 22,413.04

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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.