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Finding the Fourth Proportional to 25,923, 38,890.26 and 9,507

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Solution

The fourth proportional to 25,923, 38,890.26 and 9,507 is: 14,262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,923 : 38,890.26 = 9,507 : x
  2. Step 2: Convert to fraction form
    25,923/38,890.26 = 9,507/x
  3. Step 3: Cross multiply
    25,923x = 38,890.26 × 9,507
  4. Step 4: Simplify right side
    25,923x = 369,729,701.82
  5. Step 5: Solve for x
    x = 369,729,701.82/25,923
  6. Step 6: Final answer
    x = 14,262.61

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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.