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Finding the Fourth Proportional to 17,582.75, 26,372.75 and 7,722.11

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Solution

The fourth proportional to 17,582.75, 26,372.75 and 7,722.11 is: 11,582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.75 : 26,372.75 = 7,722.11 : x
  2. Step 2: Convert to fraction form
    17,582.75/26,372.75 = 7,722.11/x
  3. Step 3: Cross multiply
    17,582.75x = 26,372.75 × 7,722.11
  4. Step 4: Simplify right side
    17,582.75x = 203,653,276.50
  5. Step 5: Solve for x
    x = 203,653,276.50/17,582.75
  6. Step 6: Final answer
    x = 11,582.56

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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.