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Finding the Fourth Proportional to 16,504.29, 24,768.72 and 7,745.36

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Solution

The fourth proportional to 16,504.29, 24,768.72 and 7,745.36 is: 11,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504.29 : 24,768.72 = 7,745.36 : x
  2. Step 2: Convert to fraction form
    16,504.29/24,768.72 = 7,745.36/x
  3. Step 3: Cross multiply
    16,504.29x = 24,768.72 × 7,745.36
  4. Step 4: Simplify right side
    16,504.29x = 191,842,529.30
  5. Step 5: Solve for x
    x = 191,842,529.30/16,504.29
  6. Step 6: Final answer
    x = 11,623.80

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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.