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Finding the Fourth Proportional to 11,419.14, 15,749.72 and 9,828.44

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Solution

The fourth proportional to 11,419.14, 15,749.72 and 9,828.44 is: 13,555.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.14 : 15,749.72 = 9,828.44 : x
  2. Step 2: Convert to fraction form
    11,419.14/15,749.72 = 9,828.44/x
  3. Step 3: Cross multiply
    11,419.14x = 15,749.72 × 9,828.44
  4. Step 4: Simplify right side
    11,419.14x = 154,795,178.04
  5. Step 5: Solve for x
    x = 154,795,178.04/11,419.14
  6. Step 6: Final answer
    x = 13,555.76

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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.