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Finding the Fourth Proportional to 17,361.68, 23,959.23 and 9,404

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Solution

The fourth proportional to 17,361.68, 23,959.23 and 9,404 is: 12,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,361.68 : 23,959.23 = 9,404 : x
  2. Step 2: Convert to fraction form
    17,361.68/23,959.23 = 9,404/x
  3. Step 3: Cross multiply
    17,361.68x = 23,959.23 × 9,404
  4. Step 4: Simplify right side
    17,361.68x = 225,312,598.92
  5. Step 5: Solve for x
    x = 225,312,598.92/17,361.68
  6. Step 6: Final answer
    x = 12,977.58

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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.