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Finding the Fourth Proportional to 26,618.04, 39,927.24 and 11,823

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Solution

The fourth proportional to 26,618.04, 39,927.24 and 11,823 is: 17,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,618.04 : 39,927.24 = 11,823 : x
  2. Step 2: Convert to fraction form
    26,618.04/39,927.24 = 11,823/x
  3. Step 3: Cross multiply
    26,618.04x = 39,927.24 × 11,823
  4. Step 4: Simplify right side
    26,618.04x = 472,059,758.52
  5. Step 5: Solve for x
    x = 472,059,758.52/26,618.04
  6. Step 6: Final answer
    x = 17,734.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.