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Finding the Fourth Proportional to 13,576, 18,734.88 and 7,990.24

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Solution

The fourth proportional to 13,576, 18,734.88 and 7,990.24 is: 11,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576 : 18,734.88 = 7,990.24 : x
  2. Step 2: Convert to fraction form
    13,576/18,734.88 = 7,990.24/x
  3. Step 3: Cross multiply
    13,576x = 18,734.88 × 7,990.24
  4. Step 4: Simplify right side
    13,576x = 149,696,187.57
  5. Step 5: Solve for x
    x = 149,696,187.57/13,576
  6. Step 6: Final answer
    x = 11,026.53

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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.