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Finding the Fourth Proportional to 21,166.35, 29,209.41 and 12,213.78

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Solution

The fourth proportional to 21,166.35, 29,209.41 and 12,213.78 is: 16,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,166.35 : 29,209.41 = 12,213.78 : x
  2. Step 2: Convert to fraction form
    21,166.35/29,209.41 = 12,213.78/x
  3. Step 3: Cross multiply
    21,166.35x = 29,209.41 × 12,213.78
  4. Step 4: Simplify right side
    21,166.35x = 356,757,307.67
  5. Step 5: Solve for x
    x = 356,757,307.67/21,166.35
  6. Step 6: Final answer
    x = 16,854.93

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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.