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Finding the Fourth Proportional to 23,004.57, 34,514.15 and 8,213.16

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Solution

The fourth proportional to 23,004.57, 34,514.15 and 8,213.16 is: 12,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,004.57 : 34,514.15 = 8,213.16 : x
  2. Step 2: Convert to fraction form
    23,004.57/34,514.15 = 8,213.16/x
  3. Step 3: Cross multiply
    23,004.57x = 34,514.15 × 8,213.16
  4. Step 4: Simplify right side
    23,004.57x = 283,470,195.15
  5. Step 5: Solve for x
    x = 283,470,195.15/23,004.57
  6. Step 6: Final answer
    x = 12,322.34

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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.