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Finding the Fourth Proportional to 12,349.03, 18,523.50 and 4,141.03

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Solution

The fourth proportional to 12,349.03, 18,523.50 and 4,141.03 is: 6,211.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.03 : 18,523.50 = 4,141.03 : x
  2. Step 2: Convert to fraction form
    12,349.03/18,523.50 = 4,141.03/x
  3. Step 3: Cross multiply
    12,349.03x = 18,523.50 × 4,141.03
  4. Step 4: Simplify right side
    12,349.03x = 76,706,369.21
  5. Step 5: Solve for x
    x = 76,706,369.21/12,349.03
  6. Step 6: Final answer
    x = 6,211.53

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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.