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Finding the Fourth Proportional to 16,852.85, 23,249.39 and 9,775.16

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Solution

The fourth proportional to 16,852.85, 23,249.39 and 9,775.16 is: 13,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.85 : 23,249.39 = 9,775.16 : x
  2. Step 2: Convert to fraction form
    16,852.85/23,249.39 = 9,775.16/x
  3. Step 3: Cross multiply
    16,852.85x = 23,249.39 × 9,775.16
  4. Step 4: Simplify right side
    16,852.85x = 227,266,342.03
  5. Step 5: Solve for x
    x = 227,266,342.03/16,852.85
  6. Step 6: Final answer
    x = 13,485.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.