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Finding the Fourth Proportional to 16,430.33, 22,676.20 and 9,357.41

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Solution

The fourth proportional to 16,430.33, 22,676.20 and 9,357.41 is: 12,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.33 : 22,676.20 = 9,357.41 : x
  2. Step 2: Convert to fraction form
    16,430.33/22,676.20 = 9,357.41/x
  3. Step 3: Cross multiply
    16,430.33x = 22,676.20 × 9,357.41
  4. Step 4: Simplify right side
    16,430.33x = 212,190,500.64
  5. Step 5: Solve for x
    x = 212,190,500.64/16,430.33
  6. Step 6: Final answer
    x = 12,914.56

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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.