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Finding the Fourth Proportional to 16,850.30, 25,267.14 and 9,832.86

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Solution

The fourth proportional to 16,850.30, 25,267.14 and 9,832.86 is: 14,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,850.30 : 25,267.14 = 9,832.86 : x
  2. Step 2: Convert to fraction form
    16,850.30/25,267.14 = 9,832.86/x
  3. Step 3: Cross multiply
    16,850.30x = 25,267.14 × 9,832.86
  4. Step 4: Simplify right side
    16,850.30x = 248,448,250.22
  5. Step 5: Solve for x
    x = 248,448,250.22/16,850.30
  6. Step 6: Final answer
    x = 14,744.45

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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.