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Finding the Fourth Proportional to 25,952, 38,932.84 and 8,419.54

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Solution

The fourth proportional to 25,952, 38,932.84 and 8,419.54 is: 12,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,952 : 38,932.84 = 8,419.54 : x
  2. Step 2: Convert to fraction form
    25,952/38,932.84 = 8,419.54/x
  3. Step 3: Cross multiply
    25,952x = 38,932.84 × 8,419.54
  4. Step 4: Simplify right side
    25,952x = 327,796,603.69
  5. Step 5: Solve for x
    x = 327,796,603.69/25,952
  6. Step 6: Final answer
    x = 12,630.88

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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.