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Finding the Fourth Proportional to 25,464, 35,143.02 and 14,286

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Solution

The fourth proportional to 25,464, 35,143.02 and 14,286 is: 19,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,464 : 35,143.02 = 14,286 : x
  2. Step 2: Convert to fraction form
    25,464/35,143.02 = 14,286/x
  3. Step 3: Cross multiply
    25,464x = 35,143.02 × 14,286
  4. Step 4: Simplify right side
    25,464x = 502,053,183.72
  5. Step 5: Solve for x
    x = 502,053,183.72/25,464
  6. Step 6: Final answer
    x = 19,716.19

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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.