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Finding the Fourth Proportional to 16,443.67, 24,669.16 and 7,673.80

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Solution

The fourth proportional to 16,443.67, 24,669.16 and 7,673.80 is: 11,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443.67 : 24,669.16 = 7,673.80 : x
  2. Step 2: Convert to fraction form
    16,443.67/24,669.16 = 7,673.80/x
  3. Step 3: Cross multiply
    16,443.67x = 24,669.16 × 7,673.80
  4. Step 4: Simplify right side
    16,443.67x = 189,306,200.01
  5. Step 5: Solve for x
    x = 189,306,200.01/16,443.67
  6. Step 6: Final answer
    x = 11,512.41

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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.