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Finding the Fourth Proportional to 13,514.63, 18,648.83 and 9,269.32

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Solution

The fourth proportional to 13,514.63, 18,648.83 and 9,269.32 is: 12,790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.63 : 18,648.83 = 9,269.32 : x
  2. Step 2: Convert to fraction form
    13,514.63/18,648.83 = 9,269.32/x
  3. Step 3: Cross multiply
    13,514.63x = 18,648.83 × 9,269.32
  4. Step 4: Simplify right side
    13,514.63x = 172,861,879.65
  5. Step 5: Solve for x
    x = 172,861,879.65/13,514.63
  6. Step 6: Final answer
    x = 12,790.72

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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.