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Finding the Fourth Proportional to 16,676.34, 23,010.49 and 9,964.66

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Solution

The fourth proportional to 16,676.34, 23,010.49 and 9,964.66 is: 13,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,676.34 : 23,010.49 = 9,964.66 : x
  2. Step 2: Convert to fraction form
    16,676.34/23,010.49 = 9,964.66/x
  3. Step 3: Cross multiply
    16,676.34x = 23,010.49 × 9,964.66
  4. Step 4: Simplify right side
    16,676.34x = 229,291,709.28
  5. Step 5: Solve for x
    x = 229,291,709.28/16,676.34
  6. Step 6: Final answer
    x = 13,749.52

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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.