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Finding the Fourth Proportional to 16,317.24, 24,431.94 and 8,509.56

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Solution

The fourth proportional to 16,317.24, 24,431.94 and 8,509.56 is: 12,741.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,317.24 : 24,431.94 = 8,509.56 : x
  2. Step 2: Convert to fraction form
    16,317.24/24,431.94 = 8,509.56/x
  3. Step 3: Cross multiply
    16,317.24x = 24,431.94 × 8,509.56
  4. Step 4: Simplify right side
    16,317.24x = 207,905,059.35
  5. Step 5: Solve for x
    x = 207,905,059.35/16,317.24
  6. Step 6: Final answer
    x = 12,741.44

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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.