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Finding the Fourth Proportional to 16,442.67, 24,667.66 and 7,672.80

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Solution

The fourth proportional to 16,442.67, 24,667.66 and 7,672.80 is: 11,510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.67 : 24,667.66 = 7,672.80 : x
  2. Step 2: Convert to fraction form
    16,442.67/24,667.66 = 7,672.80/x
  3. Step 3: Cross multiply
    16,442.67x = 24,667.66 × 7,672.80
  4. Step 4: Simplify right side
    16,442.67x = 189,270,002.47
  5. Step 5: Solve for x
    x = 189,270,002.47/16,442.67
  6. Step 6: Final answer
    x = 11,510.90

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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.