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Finding the Fourth Proportional to 16,084.59, 24,135.11 and 7,660.63

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Solution

The fourth proportional to 16,084.59, 24,135.11 and 7,660.63 is: 11,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.59 : 24,135.11 = 7,660.63 : x
  2. Step 2: Convert to fraction form
    16,084.59/24,135.11 = 7,660.63/x
  3. Step 3: Cross multiply
    16,084.59x = 24,135.11 × 7,660.63
  4. Step 4: Simplify right side
    16,084.59x = 184,890,147.72
  5. Step 5: Solve for x
    x = 184,890,147.72/16,084.59
  6. Step 6: Final answer
    x = 11,494.86

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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.