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Finding the Fourth Proportional to 23,786.82, 35,677.53 and 6,258

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Solution

The fourth proportional to 23,786.82, 35,677.53 and 6,258 is: 9,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786.82 : 35,677.53 = 6,258 : x
  2. Step 2: Convert to fraction form
    23,786.82/35,677.53 = 6,258/x
  3. Step 3: Cross multiply
    23,786.82x = 35,677.53 × 6,258
  4. Step 4: Simplify right side
    23,786.82x = 223,269,982.74
  5. Step 5: Solve for x
    x = 223,269,982.74/23,786.82
  6. Step 6: Final answer
    x = 9,386.29

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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.