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Finding the Fourth Proportional to 21,175.83, 29,221.16 and 12,221.69

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Solution

The fourth proportional to 21,175.83, 29,221.16 and 12,221.69 is: 16,865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.83 : 29,221.16 = 12,221.69 : x
  2. Step 2: Convert to fraction form
    21,175.83/29,221.16 = 12,221.69/x
  3. Step 3: Cross multiply
    21,175.83x = 29,221.16 × 12,221.69
  4. Step 4: Simplify right side
    21,175.83x = 357,131,751.75
  5. Step 5: Solve for x
    x = 357,131,751.75/21,175.83
  6. Step 6: Final answer
    x = 16,865.07

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