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Finding the Fourth Proportional to 25,203.44, 37,802.28 and 6,734

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Solution

The fourth proportional to 25,203.44, 37,802.28 and 6,734 is: 10,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,203.44 : 37,802.28 = 6,734 : x
  2. Step 2: Convert to fraction form
    25,203.44/37,802.28 = 6,734/x
  3. Step 3: Cross multiply
    25,203.44x = 37,802.28 × 6,734
  4. Step 4: Simplify right side
    25,203.44x = 254,560,553.52
  5. Step 5: Solve for x
    x = 254,560,553.52/25,203.44
  6. Step 6: Final answer
    x = 10,100.23

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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.