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Finding the Fourth Proportional to 16,800.36, 25,192.12 and 9,782.68

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Solution

The fourth proportional to 16,800.36, 25,192.12 and 9,782.68 is: 14,669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,800.36 : 25,192.12 = 9,782.68 : x
  2. Step 2: Convert to fraction form
    16,800.36/25,192.12 = 9,782.68/x
  3. Step 3: Cross multiply
    16,800.36x = 25,192.12 × 9,782.68
  4. Step 4: Simplify right side
    16,800.36x = 246,446,448.48
  5. Step 5: Solve for x
    x = 246,446,448.48/16,800.36
  6. Step 6: Final answer
    x = 14,669.12

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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.