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Finding the Fourth Proportional to 27,768.53, 38,321.25 and 15,833

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Solution

The fourth proportional to 27,768.53, 38,321.25 and 15,833 is: 21,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,768.53 : 38,321.25 = 15,833 : x
  2. Step 2: Convert to fraction form
    27,768.53/38,321.25 = 15,833/x
  3. Step 3: Cross multiply
    27,768.53x = 38,321.25 × 15,833
  4. Step 4: Simplify right side
    27,768.53x = 606,740,351.25
  5. Step 5: Solve for x
    x = 606,740,351.25/27,768.53
  6. Step 6: Final answer
    x = 21,849.93

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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.