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Finding the Fourth Proportional to 21,523.61, 32,290.62 and 7,481.61

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Solution

The fourth proportional to 21,523.61, 32,290.62 and 7,481.61 is: 11,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.61 : 32,290.62 = 7,481.61 : x
  2. Step 2: Convert to fraction form
    21,523.61/32,290.62 = 7,481.61/x
  3. Step 3: Cross multiply
    21,523.61x = 32,290.62 × 7,481.61
  4. Step 4: Simplify right side
    21,523.61x = 241,585,825.50
  5. Step 5: Solve for x
    x = 241,585,825.50/21,523.61
  6. Step 6: Final answer
    x = 11,224.22

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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.