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Finding the Fourth Proportional to 12,388.56, 17,096.04 and 7,674

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Solution

The fourth proportional to 12,388.56, 17,096.04 and 7,674 is: 10,590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388.56 : 17,096.04 = 7,674 : x
  2. Step 2: Convert to fraction form
    12,388.56/17,096.04 = 7,674/x
  3. Step 3: Cross multiply
    12,388.56x = 17,096.04 × 7,674
  4. Step 4: Simplify right side
    12,388.56x = 131,195,010.96
  5. Step 5: Solve for x
    x = 131,195,010.96/12,388.56
  6. Step 6: Final answer
    x = 10,590.01

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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.