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Finding the Fourth Proportional to 18,506.70, 27,746.37 and 9,609.26

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Solution

The fourth proportional to 18,506.70, 27,746.37 and 9,609.26 is: 14,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.70 : 27,746.37 = 9,609.26 : x
  2. Step 2: Convert to fraction form
    18,506.70/27,746.37 = 9,609.26/x
  3. Step 3: Cross multiply
    18,506.70x = 27,746.37 × 9,609.26
  4. Step 4: Simplify right side
    18,506.70x = 266,621,944.65
  5. Step 5: Solve for x
    x = 266,621,944.65/18,506.70
  6. Step 6: Final answer
    x = 14,406.78

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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.