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Finding the Fourth Proportional to 17,221.52, 25,839.54 and 10,296

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Solution

The fourth proportional to 17,221.52, 25,839.54 and 10,296 is: 15,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.52 : 25,839.54 = 10,296 : x
  2. Step 2: Convert to fraction form
    17,221.52/25,839.54 = 10,296/x
  3. Step 3: Cross multiply
    17,221.52x = 25,839.54 × 10,296
  4. Step 4: Simplify right side
    17,221.52x = 266,043,903.84
  5. Step 5: Solve for x
    x = 266,043,903.84/17,221.52
  6. Step 6: Final answer
    x = 15,448.34

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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.