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Finding the Fourth Proportional to 12,352.50, 18,530.67 and 4,146.42

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Solution

The fourth proportional to 12,352.50, 18,530.67 and 4,146.42 is: 6,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.50 : 18,530.67 = 4,146.42 : x
  2. Step 2: Convert to fraction form
    12,352.50/18,530.67 = 4,146.42/x
  3. Step 3: Cross multiply
    12,352.50x = 18,530.67 × 4,146.42
  4. Step 4: Simplify right side
    12,352.50x = 76,835,940.70
  5. Step 5: Solve for x
    x = 76,835,940.70/12,352.50
  6. Step 6: Final answer
    x = 6,220.27

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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.