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Finding the Fourth Proportional to 17,057.34, 25,585.83 and 6,669

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Solution

The fourth proportional to 17,057.34, 25,585.83 and 6,669 is: 10,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057.34 : 25,585.83 = 6,669 : x
  2. Step 2: Convert to fraction form
    17,057.34/25,585.83 = 6,669/x
  3. Step 3: Cross multiply
    17,057.34x = 25,585.83 × 6,669
  4. Step 4: Simplify right side
    17,057.34x = 170,631,900.27
  5. Step 5: Solve for x
    x = 170,631,900.27/17,057.34
  6. Step 6: Final answer
    x = 10,003.43

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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.