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Finding the Fourth Proportional to 12,235.25, 18,353.59 and 3,469.50

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Solution

The fourth proportional to 12,235.25, 18,353.59 and 3,469.50 is: 5,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.25 : 18,353.59 = 3,469.50 : x
  2. Step 2: Convert to fraction form
    12,235.25/18,353.59 = 3,469.50/x
  3. Step 3: Cross multiply
    12,235.25x = 18,353.59 × 3,469.50
  4. Step 4: Simplify right side
    12,235.25x = 63,677,771.83
  5. Step 5: Solve for x
    x = 63,677,771.83/12,235.25
  6. Step 6: Final answer
    x = 5,204.45

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Why These Related Problems?

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