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Finding the Fourth Proportional to 25,514, 35,209.32 and 14,336

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Solution

The fourth proportional to 25,514, 35,209.32 and 14,336 is: 19,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,514 : 35,209.32 = 14,336 : x
  2. Step 2: Convert to fraction form
    25,514/35,209.32 = 14,336/x
  3. Step 3: Cross multiply
    25,514x = 35,209.32 × 14,336
  4. Step 4: Simplify right side
    25,514x = 504,760,811.52
  5. Step 5: Solve for x
    x = 504,760,811.52/25,514
  6. Step 6: Final answer
    x = 19,783.68

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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.