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Finding the Fourth Proportional to 27,758.58, 41,638.41 and 10,219.38

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Solution

The fourth proportional to 27,758.58, 41,638.41 and 10,219.38 is: 15,329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.58 : 41,638.41 = 10,219.38 : x
  2. Step 2: Convert to fraction form
    27,758.58/41,638.41 = 10,219.38/x
  3. Step 3: Cross multiply
    27,758.58x = 41,638.41 × 10,219.38
  4. Step 4: Simplify right side
    27,758.58x = 425,518,734.39
  5. Step 5: Solve for x
    x = 425,518,734.39/27,758.58
  6. Step 6: Final answer
    x = 15,329.27

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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.