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Finding the Fourth Proportional to 25,434, 35,100 and 14,256

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Solution

The fourth proportional to 25,434, 35,100 and 14,256 is: 19,673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,434 : 35,100 = 14,256 : x
  2. Step 2: Convert to fraction form
    25,434/35,100 = 14,256/x
  3. Step 3: Cross multiply
    25,434x = 35,100 × 14,256
  4. Step 4: Simplify right side
    25,434x = 500,385,600
  5. Step 5: Solve for x
    x = 500,385,600/25,434
  6. Step 6: Final answer
    x = 19,673.89

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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.