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Finding the Fourth Proportional to 18,294, 25,245.90 and 9,910.68

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Solution

The fourth proportional to 18,294, 25,245.90 and 9,910.68 is: 13,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,294 : 25,245.90 = 9,910.68 : x
  2. Step 2: Convert to fraction form
    18,294/25,245.90 = 9,910.68/x
  3. Step 3: Cross multiply
    18,294x = 25,245.90 × 9,910.68
  4. Step 4: Simplify right side
    18,294x = 250,204,036.21
  5. Step 5: Solve for x
    x = 250,204,036.21/18,294
  6. Step 6: Final answer
    x = 13,676.84

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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.