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Finding the Fourth Proportional to 12,298.50, 18,450.87 and 3,533.42

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Solution

The fourth proportional to 12,298.50, 18,450.87 and 3,533.42 is: 5,301.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.50 : 18,450.87 = 3,533.42 : x
  2. Step 2: Convert to fraction form
    12,298.50/18,450.87 = 3,533.42/x
  3. Step 3: Cross multiply
    12,298.50x = 18,450.87 × 3,533.42
  4. Step 4: Simplify right side
    12,298.50x = 65,194,725.83
  5. Step 5: Solve for x
    x = 65,194,725.83/12,298.50
  6. Step 6: Final answer
    x = 5,301.03

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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.