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Finding the Fourth Proportional to 21,257.74, 29,335.95 and 11,698.73

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Solution

The fourth proportional to 21,257.74, 29,335.95 and 11,698.73 is: 16,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.74 : 29,335.95 = 11,698.73 : x
  2. Step 2: Convert to fraction form
    21,257.74/29,335.95 = 11,698.73/x
  3. Step 3: Cross multiply
    21,257.74x = 29,335.95 × 11,698.73
  4. Step 4: Simplify right side
    21,257.74x = 343,193,321.67
  5. Step 5: Solve for x
    x = 343,193,321.67/21,257.74
  6. Step 6: Final answer
    x = 16,144.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.