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Finding the Fourth Proportional to 21,624.50, 29,841.82 and 12,193.07

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Solution

The fourth proportional to 21,624.50, 29,841.82 and 12,193.07 is: 16,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,624.50 : 29,841.82 = 12,193.07 : x
  2. Step 2: Convert to fraction form
    21,624.50/29,841.82 = 12,193.07/x
  3. Step 3: Cross multiply
    21,624.50x = 29,841.82 × 12,193.07
  4. Step 4: Simplify right side
    21,624.50x = 363,863,220.50
  5. Step 5: Solve for x
    x = 363,863,220.50/21,624.50
  6. Step 6: Final answer
    x = 16,826.43

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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.