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Finding the Fourth Proportional to 25,341, 38,011.64 and 6,873

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Solution

The fourth proportional to 25,341, 38,011.64 and 6,873 is: 10,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,341 : 38,011.64 = 6,873 : x
  2. Step 2: Convert to fraction form
    25,341/38,011.64 = 6,873/x
  3. Step 3: Cross multiply
    25,341x = 38,011.64 × 6,873
  4. Step 4: Simplify right side
    25,341x = 261,253,967.36
  5. Step 5: Solve for x
    x = 261,253,967.36/25,341
  6. Step 6: Final answer
    x = 10,309.54

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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.