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Finding the Fourth Proportional to 11,853.23, 17,779.85 and 8,144.22

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Solution

The fourth proportional to 11,853.23, 17,779.85 and 8,144.22 is: 12,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.23 : 17,779.85 = 8,144.22 : x
  2. Step 2: Convert to fraction form
    11,853.23/17,779.85 = 8,144.22/x
  3. Step 3: Cross multiply
    11,853.23x = 17,779.85 × 8,144.22
  4. Step 4: Simplify right side
    11,853.23x = 144,802,880.35
  5. Step 5: Solve for x
    x = 144,802,880.35/11,853.23
  6. Step 6: Final answer
    x = 12,216.32

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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.