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Finding the Fourth Proportional to 23,782.49, 35,673.74 and 6,252.29

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Solution

The fourth proportional to 23,782.49, 35,673.74 and 6,252.29 is: 9,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.49 : 35,673.74 = 6,252.29 : x
  2. Step 2: Convert to fraction form
    23,782.49/35,673.74 = 6,252.29/x
  3. Step 3: Cross multiply
    23,782.49x = 35,673.74 × 6,252.29
  4. Step 4: Simplify right side
    23,782.49x = 223,042,536.60
  5. Step 5: Solve for x
    x = 223,042,536.60/23,782.49
  6. Step 6: Final answer
    x = 9,378.44

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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.