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Finding the Fourth Proportional to 21,780.80, 32,675.16 and 14,391.44

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Solution

The fourth proportional to 21,780.80, 32,675.16 and 14,391.44 is: 21,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.80 : 32,675.16 = 14,391.44 : x
  2. Step 2: Convert to fraction form
    21,780.80/32,675.16 = 14,391.44/x
  3. Step 3: Cross multiply
    21,780.80x = 32,675.16 × 14,391.44
  4. Step 4: Simplify right side
    21,780.80x = 470,242,604.63
  5. Step 5: Solve for x
    x = 470,242,604.63/21,780.80
  6. Step 6: Final answer
    x = 21,589.78

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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.