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Finding the Fourth Proportional to 25,515, 35,214 and 14,337

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Solution

The fourth proportional to 25,515, 35,214 and 14,337 is: 19,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,515 : 35,214 = 14,337 : x
  2. Step 2: Convert to fraction form
    25,515/35,214 = 14,337/x
  3. Step 3: Cross multiply
    25,515x = 35,214 × 14,337
  4. Step 4: Simplify right side
    25,515x = 504,863,118
  5. Step 5: Solve for x
    x = 504,863,118/25,515
  6. Step 6: Final answer
    x = 19,786.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.