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Finding the Fourth Proportional to 13,012.96, 19,514.64 and 4,246.24

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Solution

The fourth proportional to 13,012.96, 19,514.64 and 4,246.24 is: 6,367.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.96 : 19,514.64 = 4,246.24 : x
  2. Step 2: Convert to fraction form
    13,012.96/19,514.64 = 4,246.24/x
  3. Step 3: Cross multiply
    13,012.96x = 19,514.64 × 4,246.24
  4. Step 4: Simplify right side
    13,012.96x = 82,863,844.95
  5. Step 5: Solve for x
    x = 82,863,844.95/13,012.96
  6. Step 6: Final answer
    x = 6,367.79

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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.