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Finding the Fourth Proportional to 16,814.26, 23,202.87 and 9,260.91

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Solution

The fourth proportional to 16,814.26, 23,202.87 and 9,260.91 is: 12,779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.26 : 23,202.87 = 9,260.91 : x
  2. Step 2: Convert to fraction form
    16,814.26/23,202.87 = 9,260.91/x
  3. Step 3: Cross multiply
    16,814.26x = 23,202.87 × 9,260.91
  4. Step 4: Simplify right side
    16,814.26x = 214,879,690.81
  5. Step 5: Solve for x
    x = 214,879,690.81/16,814.26
  6. Step 6: Final answer
    x = 12,779.61

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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.