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Finding the Fourth Proportional to 16,443.20, 24,672.90 and 9,428.60

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Solution

The fourth proportional to 16,443.20, 24,672.90 and 9,428.60 is: 14,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443.20 : 24,672.90 = 9,428.60 : x
  2. Step 2: Convert to fraction form
    16,443.20/24,672.90 = 9,428.60/x
  3. Step 3: Cross multiply
    16,443.20x = 24,672.90 × 9,428.60
  4. Step 4: Simplify right side
    16,443.20x = 232,630,904.94
  5. Step 5: Solve for x
    x = 232,630,904.94/16,443.20
  6. Step 6: Final answer
    x = 14,147.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.