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Finding the Fourth Proportional to 16,379.85, 24,567.40 and 8,057.64

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Solution

The fourth proportional to 16,379.85, 24,567.40 and 8,057.64 is: 12,085.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,379.85 : 24,567.40 = 8,057.64 : x
  2. Step 2: Convert to fraction form
    16,379.85/24,567.40 = 8,057.64/x
  3. Step 3: Cross multiply
    16,379.85x = 24,567.40 × 8,057.64
  4. Step 4: Simplify right side
    16,379.85x = 197,955,367.14
  5. Step 5: Solve for x
    x = 197,955,367.14/16,379.85
  6. Step 6: Final answer
    x = 12,085.30

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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.