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Finding the Fourth Proportional to 12,469, 18,703.50 and 3,235

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Solution

The fourth proportional to 12,469, 18,703.50 and 3,235 is: 4,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469 : 18,703.50 = 3,235 : x
  2. Step 2: Convert to fraction form
    12,469/18,703.50 = 3,235/x
  3. Step 3: Cross multiply
    12,469x = 18,703.50 × 3,235
  4. Step 4: Simplify right side
    12,469x = 60,505,822.50
  5. Step 5: Solve for x
    x = 60,505,822.50/12,469
  6. Step 6: Final answer
    x = 4,852.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.