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Finding the Fourth Proportional to 17,551.28, 24,227.48 and 10,838

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Solution

The fourth proportional to 17,551.28, 24,227.48 and 10,838 is: 14,960.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,551.28 : 24,227.48 = 10,838 : x
  2. Step 2: Convert to fraction form
    17,551.28/24,227.48 = 10,838/x
  3. Step 3: Cross multiply
    17,551.28x = 24,227.48 × 10,838
  4. Step 4: Simplify right side
    17,551.28x = 262,577,428.24
  5. Step 5: Solve for x
    x = 262,577,428.24/17,551.28
  6. Step 6: Final answer
    x = 14,960.59

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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.