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Finding the Fourth Proportional to 27,683.54, 41,462.88 and 12,861.26

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Solution

The fourth proportional to 27,683.54, 41,462.88 and 12,861.26 is: 19,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.54 : 41,462.88 = 12,861.26 : x
  2. Step 2: Convert to fraction form
    27,683.54/41,462.88 = 12,861.26/x
  3. Step 3: Cross multiply
    27,683.54x = 41,462.88 × 12,861.26
  4. Step 4: Simplify right side
    27,683.54x = 533,264,880.03
  5. Step 5: Solve for x
    x = 533,264,880.03/27,683.54
  6. Step 6: Final answer
    x = 19,262.89

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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.