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Finding the Fourth Proportional to 12,223.27, 18,325.93 and 3,898.50

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Solution

The fourth proportional to 12,223.27, 18,325.93 and 3,898.50 is: 5,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.27 : 18,325.93 = 3,898.50 : x
  2. Step 2: Convert to fraction form
    12,223.27/18,325.93 = 3,898.50/x
  3. Step 3: Cross multiply
    12,223.27x = 18,325.93 × 3,898.50
  4. Step 4: Simplify right side
    12,223.27x = 71,443,638.11
  5. Step 5: Solve for x
    x = 71,443,638.11/12,223.27
  6. Step 6: Final answer
    x = 5,844.89

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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.