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Finding the Fourth Proportional to 18,394.40, 27,597.36 and 11,828

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Solution

The fourth proportional to 18,394.40, 27,597.36 and 11,828 is: 17,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,394.40 : 27,597.36 = 11,828 : x
  2. Step 2: Convert to fraction form
    18,394.40/27,597.36 = 11,828/x
  3. Step 3: Cross multiply
    18,394.40x = 27,597.36 × 11,828
  4. Step 4: Simplify right side
    18,394.40x = 326,421,574.08
  5. Step 5: Solve for x
    x = 326,421,574.08/18,394.40
  6. Step 6: Final answer
    x = 17,745.70

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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.