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Finding the Fourth Proportional to 27,722.53, 38,257.09 and 15,147.28

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Solution

The fourth proportional to 27,722.53, 38,257.09 and 15,147.28 is: 20,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722.53 : 38,257.09 = 15,147.28 : x
  2. Step 2: Convert to fraction form
    27,722.53/38,257.09 = 15,147.28/x
  3. Step 3: Cross multiply
    27,722.53x = 38,257.09 × 15,147.28
  4. Step 4: Simplify right side
    27,722.53x = 579,490,949.37
  5. Step 5: Solve for x
    x = 579,490,949.37/27,722.53
  6. Step 6: Final answer
    x = 20,903.25

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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.