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Finding the Fourth Proportional to 18,017.25, 27,036.81 and 7,629

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Solution

The fourth proportional to 18,017.25, 27,036.81 and 7,629 is: 11,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,017.25 : 27,036.81 = 7,629 : x
  2. Step 2: Convert to fraction form
    18,017.25/27,036.81 = 7,629/x
  3. Step 3: Cross multiply
    18,017.25x = 27,036.81 × 7,629
  4. Step 4: Simplify right side
    18,017.25x = 206,263,823.49
  5. Step 5: Solve for x
    x = 206,263,823.49/18,017.25
  6. Step 6: Final answer
    x = 11,448.13

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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.