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Finding the Fourth Proportional to 11,314.49, 16,852.20 and 10,721.69

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Solution

The fourth proportional to 11,314.49, 16,852.20 and 10,721.69 is: 15,969.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.49 : 16,852.20 = 10,721.69 : x
  2. Step 2: Convert to fraction form
    11,314.49/16,852.20 = 10,721.69/x
  3. Step 3: Cross multiply
    11,314.49x = 16,852.20 × 10,721.69
  4. Step 4: Simplify right side
    11,314.49x = 180,684,110.65
  5. Step 5: Solve for x
    x = 180,684,110.65/11,314.49
  6. Step 6: Final answer
    x = 15,969.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.