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Finding the Fourth Proportional to 16,835.49, 25,249.04 and 6,977.49

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Solution

The fourth proportional to 16,835.49, 25,249.04 and 6,977.49 is: 10,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,835.49 : 25,249.04 = 6,977.49 : x
  2. Step 2: Convert to fraction form
    16,835.49/25,249.04 = 6,977.49/x
  3. Step 3: Cross multiply
    16,835.49x = 25,249.04 × 6,977.49
  4. Step 4: Simplify right side
    16,835.49x = 176,174,889.22
  5. Step 5: Solve for x
    x = 176,174,889.22/16,835.49
  6. Step 6: Final answer
    x = 10,464.49

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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.