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Finding the Fourth Proportional to 27,382.96, 37,788.44 and 15,446.26

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Solution

The fourth proportional to 27,382.96, 37,788.44 and 15,446.26 is: 21,315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.96 : 37,788.44 = 15,446.26 : x
  2. Step 2: Convert to fraction form
    27,382.96/37,788.44 = 15,446.26/x
  3. Step 3: Cross multiply
    27,382.96x = 37,788.44 × 15,446.26
  4. Step 4: Simplify right side
    27,382.96x = 583,690,069.23
  5. Step 5: Solve for x
    x = 583,690,069.23/27,382.96
  6. Step 6: Final answer
    x = 21,315.81

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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.