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Finding the Fourth Proportional to 17,051.38, 23,525.49 and 9,597.94

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Solution

The fourth proportional to 17,051.38, 23,525.49 and 9,597.94 is: 13,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,051.38 : 23,525.49 = 9,597.94 : x
  2. Step 2: Convert to fraction form
    17,051.38/23,525.49 = 9,597.94/x
  3. Step 3: Cross multiply
    17,051.38x = 23,525.49 × 9,597.94
  4. Step 4: Simplify right side
    17,051.38x = 225,796,241.49
  5. Step 5: Solve for x
    x = 225,796,241.49/17,051.38
  6. Step 6: Final answer
    x = 13,242.11

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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.