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Finding the Fourth Proportional to 25,652.30, 38,474.73 and 6,933.42

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Solution

The fourth proportional to 25,652.30, 38,474.73 and 6,933.42 is: 10,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,652.30 : 38,474.73 = 6,933.42 : x
  2. Step 2: Convert to fraction form
    25,652.30/38,474.73 = 6,933.42/x
  3. Step 3: Cross multiply
    25,652.30x = 38,474.73 × 6,933.42
  4. Step 4: Simplify right side
    25,652.30x = 266,761,462.48
  5. Step 5: Solve for x
    x = 266,761,462.48/25,652.30
  6. Step 6: Final answer
    x = 10,399.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.