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Finding the Fourth Proportional to 21,233.57, 29,297.56 and 12,849.89

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Solution

The fourth proportional to 21,233.57, 29,297.56 and 12,849.89 is: 17,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,233.57 : 29,297.56 = 12,849.89 : x
  2. Step 2: Convert to fraction form
    21,233.57/29,297.56 = 12,849.89/x
  3. Step 3: Cross multiply
    21,233.57x = 29,297.56 × 12,849.89
  4. Step 4: Simplify right side
    21,233.57x = 376,470,423.27
  5. Step 5: Solve for x
    x = 376,470,423.27/21,233.57
  6. Step 6: Final answer
    x = 17,729.96

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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.