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Finding the Fourth Proportional to 27,841.30, 41,774.37 and 12,840.36

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Solution

The fourth proportional to 27,841.30, 41,774.37 and 12,840.36 is: 19,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.30 : 41,774.37 = 12,840.36 : x
  2. Step 2: Convert to fraction form
    27,841.30/41,774.37 = 12,840.36/x
  3. Step 3: Cross multiply
    27,841.30x = 41,774.37 × 12,840.36
  4. Step 4: Simplify right side
    27,841.30x = 536,397,905.83
  5. Step 5: Solve for x
    x = 536,397,905.83/27,841.30
  6. Step 6: Final answer
    x = 19,266.26

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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.