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Finding the Fourth Proportional to 23,285.48, 34,933.68 and 7,703

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Solution

The fourth proportional to 23,285.48, 34,933.68 and 7,703 is: 11,556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,285.48 : 34,933.68 = 7,703 : x
  2. Step 2: Convert to fraction form
    23,285.48/34,933.68 = 7,703/x
  3. Step 3: Cross multiply
    23,285.48x = 34,933.68 × 7,703
  4. Step 4: Simplify right side
    23,285.48x = 269,094,137.04
  5. Step 5: Solve for x
    x = 269,094,137.04/23,285.48
  6. Step 6: Final answer
    x = 11,556.31

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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.