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Finding the Fourth Proportional to 25,934, 35,786.78 and 14,599.88

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Solution

The fourth proportional to 25,934, 35,786.78 and 14,599.88 is: 20,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,934 : 35,786.78 = 14,599.88 : x
  2. Step 2: Convert to fraction form
    25,934/35,786.78 = 14,599.88/x
  3. Step 3: Cross multiply
    25,934x = 35,786.78 × 14,599.88
  4. Step 4: Simplify right side
    25,934x = 522,482,693.59
  5. Step 5: Solve for x
    x = 522,482,693.59/25,934
  6. Step 6: Final answer
    x = 20,146.63

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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.