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Finding the Fourth Proportional to 23,828.50, 35,744.28 and 6,297.88

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Solution

The fourth proportional to 23,828.50, 35,744.28 and 6,297.88 is: 9,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.50 : 35,744.28 = 6,297.88 : x
  2. Step 2: Convert to fraction form
    23,828.50/35,744.28 = 6,297.88/x
  3. Step 3: Cross multiply
    23,828.50x = 35,744.28 × 6,297.88
  4. Step 4: Simplify right side
    23,828.50x = 225,113,186.13
  5. Step 5: Solve for x
    x = 225,113,186.13/23,828.50
  6. Step 6: Final answer
    x = 9,447.22

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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.