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Finding the Fourth Proportional to 14,338.56, 19,741.44 and 12,234.24

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Solution

The fourth proportional to 14,338.56, 19,741.44 and 12,234.24 is: 16,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.56 : 19,741.44 = 12,234.24 : x
  2. Step 2: Convert to fraction form
    14,338.56/19,741.44 = 12,234.24/x
  3. Step 3: Cross multiply
    14,338.56x = 19,741.44 × 12,234.24
  4. Step 4: Simplify right side
    14,338.56x = 241,521,514.91
  5. Step 5: Solve for x
    x = 241,521,514.91/14,338.56
  6. Step 6: Final answer
    x = 16,844.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.