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Finding the Fourth Proportional to 17,198.84, 25,795.94 and 7,828.76

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Solution

The fourth proportional to 17,198.84, 25,795.94 and 7,828.76 is: 11,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,198.84 : 25,795.94 = 7,828.76 : x
  2. Step 2: Convert to fraction form
    17,198.84/25,795.94 = 7,828.76/x
  3. Step 3: Cross multiply
    17,198.84x = 25,795.94 × 7,828.76
  4. Step 4: Simplify right side
    17,198.84x = 201,950,055.11
  5. Step 5: Solve for x
    x = 201,950,055.11/17,198.84
  6. Step 6: Final answer
    x = 11,742.08

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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.