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Finding the Fourth Proportional to 27,832.57, 38,409.83 and 15,258.49

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Solution

The fourth proportional to 27,832.57, 38,409.83 and 15,258.49 is: 21,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.57 : 38,409.83 = 15,258.49 : x
  2. Step 2: Convert to fraction form
    27,832.57/38,409.83 = 15,258.49/x
  3. Step 3: Cross multiply
    27,832.57x = 38,409.83 × 15,258.49
  4. Step 4: Simplify right side
    27,832.57x = 586,075,930.66
  5. Step 5: Solve for x
    x = 586,075,930.66/27,832.57
  6. Step 6: Final answer
    x = 21,057.20

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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.