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Finding the Fourth Proportional to 16,744.24, 25,115.04 and 8,415.76

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Solution

The fourth proportional to 16,744.24, 25,115.04 and 8,415.76 is: 12,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,744.24 : 25,115.04 = 8,415.76 : x
  2. Step 2: Convert to fraction form
    16,744.24/25,115.04 = 8,415.76/x
  3. Step 3: Cross multiply
    16,744.24x = 25,115.04 × 8,415.76
  4. Step 4: Simplify right side
    16,744.24x = 211,362,149.03
  5. Step 5: Solve for x
    x = 211,362,149.03/16,744.24
  6. Step 6: Final answer
    x = 12,622.98

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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.