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Finding the Fourth Proportional to 16,445.83, 24,672.39 and 7,675.96

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Solution

The fourth proportional to 16,445.83, 24,672.39 and 7,675.96 is: 11,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,445.83 : 24,672.39 = 7,675.96 : x
  2. Step 2: Convert to fraction form
    16,445.83/24,672.39 = 7,675.96/x
  3. Step 3: Cross multiply
    16,445.83x = 24,672.39 × 7,675.96
  4. Step 4: Simplify right side
    16,445.83x = 189,384,278.74
  5. Step 5: Solve for x
    x = 189,384,278.74/16,445.83
  6. Step 6: Final answer
    x = 11,515.64

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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.