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Finding the Fourth Proportional to 27,758.30, 38,297.00 and 15,813.23

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Solution

The fourth proportional to 27,758.30, 38,297.00 and 15,813.23 is: 21,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.30 : 38,297.00 = 15,813.23 : x
  2. Step 2: Convert to fraction form
    27,758.30/38,297.00 = 15,813.23/x
  3. Step 3: Cross multiply
    27,758.30x = 38,297.00 × 15,813.23
  4. Step 4: Simplify right side
    27,758.30x = 605,599,117.36
  5. Step 5: Solve for x
    x = 605,599,117.36/27,758.30
  6. Step 6: Final answer
    x = 21,816.87

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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.