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Finding the Fourth Proportional to 27,817.76, 38,394.81 and 21,756.06

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Solution

The fourth proportional to 27,817.76, 38,394.81 and 21,756.06 is: 30,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.76 : 38,394.81 = 21,756.06 : x
  2. Step 2: Convert to fraction form
    27,817.76/38,394.81 = 21,756.06/x
  3. Step 3: Cross multiply
    27,817.76x = 38,394.81 × 21,756.06
  4. Step 4: Simplify right side
    27,817.76x = 835,319,790.05
  5. Step 5: Solve for x
    x = 835,319,790.05/27,817.76
  6. Step 6: Final answer
    x = 30,028.29

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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.