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Finding the Fourth Proportional to 18,256.85, 25,194 and 10,299

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Solution

The fourth proportional to 18,256.85, 25,194 and 10,299 is: 14,212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,256.85 : 25,194 = 10,299 : x
  2. Step 2: Convert to fraction form
    18,256.85/25,194 = 10,299/x
  3. Step 3: Cross multiply
    18,256.85x = 25,194 × 10,299
  4. Step 4: Simplify right side
    18,256.85x = 259,473,006
  5. Step 5: Solve for x
    x = 259,473,006/18,256.85
  6. Step 6: Final answer
    x = 14,212.36

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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.