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Finding the Fourth Proportional to 12,411.25, 17,142.15 and 8,212.21

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Solution

The fourth proportional to 12,411.25, 17,142.15 and 8,212.21 is: 11,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.25 : 17,142.15 = 8,212.21 : x
  2. Step 2: Convert to fraction form
    12,411.25/17,142.15 = 8,212.21/x
  3. Step 3: Cross multiply
    12,411.25x = 17,142.15 × 8,212.21
  4. Step 4: Simplify right side
    12,411.25x = 140,774,935.65
  5. Step 5: Solve for x
    x = 140,774,935.65/12,411.25
  6. Step 6: Final answer
    x = 11,342.53

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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.