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Finding the Fourth Proportional to 13,044.72, 17,997.32 and 7,378.80

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Solution

The fourth proportional to 13,044.72, 17,997.32 and 7,378.80 is: 10,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,044.72 : 17,997.32 = 7,378.80 : x
  2. Step 2: Convert to fraction form
    13,044.72/17,997.32 = 7,378.80/x
  3. Step 3: Cross multiply
    13,044.72x = 17,997.32 × 7,378.80
  4. Step 4: Simplify right side
    13,044.72x = 132,798,624.82
  5. Step 5: Solve for x
    x = 132,798,624.82/13,044.72
  6. Step 6: Final answer
    x = 10,180.26

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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.