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Finding the Fourth Proportional to 12,664.72, 18,996.36 and 3,430

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Solution

The fourth proportional to 12,664.72, 18,996.36 and 3,430 is: 5,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.72 : 18,996.36 = 3,430 : x
  2. Step 2: Convert to fraction form
    12,664.72/18,996.36 = 3,430/x
  3. Step 3: Cross multiply
    12,664.72x = 18,996.36 × 3,430
  4. Step 4: Simplify right side
    12,664.72x = 65,157,514.80
  5. Step 5: Solve for x
    x = 65,157,514.80/12,664.72
  6. Step 6: Final answer
    x = 5,144.81

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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.