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Finding the Fourth Proportional to 21,650.34, 29,877.24 and 11,714.34

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Solution

The fourth proportional to 21,650.34, 29,877.24 and 11,714.34 is: 16,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,650.34 : 29,877.24 = 11,714.34 : x
  2. Step 2: Convert to fraction form
    21,650.34/29,877.24 = 11,714.34/x
  3. Step 3: Cross multiply
    21,650.34x = 29,877.24 × 11,714.34
  4. Step 4: Simplify right side
    21,650.34x = 349,992,147.62
  5. Step 5: Solve for x
    x = 349,992,147.62/21,650.34
  6. Step 6: Final answer
    x = 16,165.67

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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.