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Finding the Fourth Proportional to 21,658.60, 32,450.92 and 11,780.24

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Solution

The fourth proportional to 21,658.60, 32,450.92 and 11,780.24 is: 17,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.60 : 32,450.92 = 11,780.24 : x
  2. Step 2: Convert to fraction form
    21,658.60/32,450.92 = 11,780.24/x
  3. Step 3: Cross multiply
    21,658.60x = 32,450.92 × 11,780.24
  4. Step 4: Simplify right side
    21,658.60x = 382,279,625.82
  5. Step 5: Solve for x
    x = 382,279,625.82/21,658.60
  6. Step 6: Final answer
    x = 17,650.25

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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.