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Finding the Fourth Proportional to 25,734, 35,514 and 14,556

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Solution

The fourth proportional to 25,734, 35,514 and 14,556 is: 20,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,734 : 35,514 = 14,556 : x
  2. Step 2: Convert to fraction form
    25,734/35,514 = 14,556/x
  3. Step 3: Cross multiply
    25,734x = 35,514 × 14,556
  4. Step 4: Simplify right side
    25,734x = 516,941,784
  5. Step 5: Solve for x
    x = 516,941,784/25,734
  6. Step 6: Final answer
    x = 20,087.89

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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.