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Finding the Fourth Proportional to 18,257.07, 25,194.15 and 10,299

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Solution

The fourth proportional to 18,257.07, 25,194.15 and 10,299 is: 14,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,257.07 : 25,194.15 = 10,299 : x
  2. Step 2: Convert to fraction form
    18,257.07/25,194.15 = 10,299/x
  3. Step 3: Cross multiply
    18,257.07x = 25,194.15 × 10,299
  4. Step 4: Simplify right side
    18,257.07x = 259,474,550.85
  5. Step 5: Solve for x
    x = 259,474,550.85/18,257.07
  6. Step 6: Final answer
    x = 14,212.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.