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Finding the Fourth Proportional to 14,609.62, 21,906.63 and 7,582.56

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Solution

The fourth proportional to 14,609.62, 21,906.63 and 7,582.56 is: 11,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.62 : 21,906.63 = 7,582.56 : x
  2. Step 2: Convert to fraction form
    14,609.62/21,906.63 = 7,582.56/x
  3. Step 3: Cross multiply
    14,609.62x = 21,906.63 × 7,582.56
  4. Step 4: Simplify right side
    14,609.62x = 166,108,254.22
  5. Step 5: Solve for x
    x = 166,108,254.22/14,609.62
  6. Step 6: Final answer
    x = 11,369.79

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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.