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Finding the Fourth Proportional to 27,834.54, 38,410.23 and 15,895.54

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Solution

The fourth proportional to 27,834.54, 38,410.23 and 15,895.54 is: 21,935.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.54 : 38,410.23 = 15,895.54 : x
  2. Step 2: Convert to fraction form
    27,834.54/38,410.23 = 15,895.54/x
  3. Step 3: Cross multiply
    27,834.54x = 38,410.23 × 15,895.54
  4. Step 4: Simplify right side
    27,834.54x = 610,551,347.37
  5. Step 5: Solve for x
    x = 610,551,347.37/27,834.54
  6. Step 6: Final answer
    x = 21,935.03

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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.