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Finding the Fourth Proportional to 17,056, 23,537.46 and 9,604

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Solution

The fourth proportional to 17,056, 23,537.46 and 9,604 is: 13,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,056 : 23,537.46 = 9,604 : x
  2. Step 2: Convert to fraction form
    17,056/23,537.46 = 9,604/x
  3. Step 3: Cross multiply
    17,056x = 23,537.46 × 9,604
  4. Step 4: Simplify right side
    17,056x = 226,053,765.84
  5. Step 5: Solve for x
    x = 226,053,765.84/17,056
  6. Step 6: Final answer
    x = 13,253.62

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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.