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Finding the Fourth Proportional to 16,676.42, 23,014.01 and 9,122.58

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Solution

The fourth proportional to 16,676.42, 23,014.01 and 9,122.58 is: 12,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,676.42 : 23,014.01 = 9,122.58 : x
  2. Step 2: Convert to fraction form
    16,676.42/23,014.01 = 9,122.58/x
  3. Step 3: Cross multiply
    16,676.42x = 23,014.01 × 9,122.58
  4. Step 4: Simplify right side
    16,676.42x = 209,947,015.43
  5. Step 5: Solve for x
    x = 209,947,015.43/16,676.42
  6. Step 6: Final answer
    x = 12,589.45

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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.