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Finding the Fourth Proportional to 17,768.20, 24,520.43 and 9,809.95

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Solution

The fourth proportional to 17,768.20, 24,520.43 and 9,809.95 is: 13,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768.20 : 24,520.43 = 9,809.95 : x
  2. Step 2: Convert to fraction form
    17,768.20/24,520.43 = 9,809.95/x
  3. Step 3: Cross multiply
    17,768.20x = 24,520.43 × 9,809.95
  4. Step 4: Simplify right side
    17,768.20x = 240,544,020.63
  5. Step 5: Solve for x
    x = 240,544,020.63/17,768.20
  6. Step 6: Final answer
    x = 13,537.90

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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.