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Finding the Fourth Proportional to 22,809.56, 34,218 and 9,662.04

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Solution

The fourth proportional to 22,809.56, 34,218 and 9,662.04 is: 14,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.56 : 34,218 = 9,662.04 : x
  2. Step 2: Convert to fraction form
    22,809.56/34,218 = 9,662.04/x
  3. Step 3: Cross multiply
    22,809.56x = 34,218 × 9,662.04
  4. Step 4: Simplify right side
    22,809.56x = 330,615,684.72
  5. Step 5: Solve for x
    x = 330,615,684.72/22,809.56
  6. Step 6: Final answer
    x = 14,494.61

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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.