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Finding the Fourth Proportional to 16,419.64, 24,633.14 and 6,563.56

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Solution

The fourth proportional to 16,419.64, 24,633.14 and 6,563.56 is: 9,846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.64 : 24,633.14 = 6,563.56 : x
  2. Step 2: Convert to fraction form
    16,419.64/24,633.14 = 6,563.56/x
  3. Step 3: Cross multiply
    16,419.64x = 24,633.14 × 6,563.56
  4. Step 4: Simplify right side
    16,419.64x = 161,681,092.38
  5. Step 5: Solve for x
    x = 161,681,092.38/16,419.64
  6. Step 6: Final answer
    x = 9,846.81

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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.