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Finding the Fourth Proportional to 17,900.84, 24,704.52 and 9,944.48

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Solution

The fourth proportional to 17,900.84, 24,704.52 and 9,944.48 is: 13,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,900.84 : 24,704.52 = 9,944.48 : x
  2. Step 2: Convert to fraction form
    17,900.84/24,704.52 = 9,944.48/x
  3. Step 3: Cross multiply
    17,900.84x = 24,704.52 × 9,944.48
  4. Step 4: Simplify right side
    17,900.84x = 245,673,605.05
  5. Step 5: Solve for x
    x = 245,673,605.05/17,900.84
  6. Step 6: Final answer
    x = 13,724.14

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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.