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Finding the Fourth Proportional to 17,754.96, 24,501.24 and 9,796.44

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Solution

The fourth proportional to 17,754.96, 24,501.24 and 9,796.44 is: 13,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.96 : 24,501.24 = 9,796.44 : x
  2. Step 2: Convert to fraction form
    17,754.96/24,501.24 = 9,796.44/x
  3. Step 3: Cross multiply
    17,754.96x = 24,501.24 × 9,796.44
  4. Step 4: Simplify right side
    17,754.96x = 240,024,927.59
  5. Step 5: Solve for x
    x = 240,024,927.59/17,754.96
  6. Step 6: Final answer
    x = 13,518.75

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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.