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Finding the Fourth Proportional to 16,523.73, 24,723.50 and 9,835.63

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Solution

The fourth proportional to 16,523.73, 24,723.50 and 9,835.63 is: 14,716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.73 : 24,723.50 = 9,835.63 : x
  2. Step 2: Convert to fraction form
    16,523.73/24,723.50 = 9,835.63/x
  3. Step 3: Cross multiply
    16,523.73x = 24,723.50 × 9,835.63
  4. Step 4: Simplify right side
    16,523.73x = 243,171,087.32
  5. Step 5: Solve for x
    x = 243,171,087.32/16,523.73
  6. Step 6: Final answer
    x = 14,716.48

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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.