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Finding the Fourth Proportional to 27,925.54, 41,894.18 and 8,202.44

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Solution

The fourth proportional to 27,925.54, 41,894.18 and 8,202.44 is: 12,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,925.54 : 41,894.18 = 8,202.44 : x
  2. Step 2: Convert to fraction form
    27,925.54/41,894.18 = 8,202.44/x
  3. Step 3: Cross multiply
    27,925.54x = 41,894.18 × 8,202.44
  4. Step 4: Simplify right side
    27,925.54x = 343,634,497.80
  5. Step 5: Solve for x
    x = 343,634,497.80/27,925.54
  6. Step 6: Final answer
    x = 12,305.38

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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.