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Finding the Fourth Proportional to 27,406.63, 41,077.69 and 12,396.31

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Solution

The fourth proportional to 27,406.63, 41,077.69 and 12,396.31 is: 18,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406.63 : 41,077.69 = 12,396.31 : x
  2. Step 2: Convert to fraction form
    27,406.63/41,077.69 = 12,396.31/x
  3. Step 3: Cross multiply
    27,406.63x = 41,077.69 × 12,396.31
  4. Step 4: Simplify right side
    27,406.63x = 509,211,779.32
  5. Step 5: Solve for x
    x = 509,211,779.32/27,406.63
  6. Step 6: Final answer
    x = 18,579.88

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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.