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Finding the Fourth Proportional to 17,302, 23,876.76 and 9,851.44

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Solution

The fourth proportional to 17,302, 23,876.76 and 9,851.44 is: 13,594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302 : 23,876.76 = 9,851.44 : x
  2. Step 2: Convert to fraction form
    17,302/23,876.76 = 9,851.44/x
  3. Step 3: Cross multiply
    17,302x = 23,876.76 × 9,851.44
  4. Step 4: Simplify right side
    17,302x = 235,220,468.53
  5. Step 5: Solve for x
    x = 235,220,468.53/17,302
  6. Step 6: Final answer
    x = 13,594.99

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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.