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Finding the Fourth Proportional to 17,754.12, 24,500.07 and 9,796.68

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Solution

The fourth proportional to 17,754.12, 24,500.07 and 9,796.68 is: 13,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.12 : 24,500.07 = 9,796.68 : x
  2. Step 2: Convert to fraction form
    17,754.12/24,500.07 = 9,796.68/x
  3. Step 3: Cross multiply
    17,754.12x = 24,500.07 × 9,796.68
  4. Step 4: Simplify right side
    17,754.12x = 240,019,345.77
  5. Step 5: Solve for x
    x = 240,019,345.77/17,754.12
  6. Step 6: Final answer
    x = 13,519.08

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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.