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Finding the Fourth Proportional to 16,523.12, 24,785.82 and 6,662.49

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Solution

The fourth proportional to 16,523.12, 24,785.82 and 6,662.49 is: 9,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.12 : 24,785.82 = 6,662.49 : x
  2. Step 2: Convert to fraction form
    16,523.12/24,785.82 = 6,662.49/x
  3. Step 3: Cross multiply
    16,523.12x = 24,785.82 × 6,662.49
  4. Step 4: Simplify right side
    16,523.12x = 165,135,277.89
  5. Step 5: Solve for x
    x = 165,135,277.89/16,523.12
  6. Step 6: Final answer
    x = 9,994.20

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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.