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Finding the Fourth Proportional to 27,873.81, 41,810.57 and 6,813.95

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Solution

The fourth proportional to 27,873.81, 41,810.57 and 6,813.95 is: 10,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873.81 : 41,810.57 = 6,813.95 : x
  2. Step 2: Convert to fraction form
    27,873.81/41,810.57 = 6,813.95/x
  3. Step 3: Cross multiply
    27,873.81x = 41,810.57 × 6,813.95
  4. Step 4: Simplify right side
    27,873.81x = 284,894,915.88
  5. Step 5: Solve for x
    x = 284,894,915.88/27,873.81
  6. Step 6: Final answer
    x = 10,220.88

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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.