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Finding the Fourth Proportional to 17,353.44, 26,041.50 and 6,966

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Solution

The fourth proportional to 17,353.44, 26,041.50 and 6,966 is: 10,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,353.44 : 26,041.50 = 6,966 : x
  2. Step 2: Convert to fraction form
    17,353.44/26,041.50 = 6,966/x
  3. Step 3: Cross multiply
    17,353.44x = 26,041.50 × 6,966
  4. Step 4: Simplify right side
    17,353.44x = 181,405,089
  5. Step 5: Solve for x
    x = 181,405,089/17,353.44
  6. Step 6: Final answer
    x = 10,453.55

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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.