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Finding the Fourth Proportional to 12,026.48, 16,596.09 and 6,721.38

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Solution

The fourth proportional to 12,026.48, 16,596.09 and 6,721.38 is: 9,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.48 : 16,596.09 = 6,721.38 : x
  2. Step 2: Convert to fraction form
    12,026.48/16,596.09 = 6,721.38/x
  3. Step 3: Cross multiply
    12,026.48x = 16,596.09 × 6,721.38
  4. Step 4: Simplify right side
    12,026.48x = 111,548,627.40
  5. Step 5: Solve for x
    x = 111,548,627.40/12,026.48
  6. Step 6: Final answer
    x = 9,275.26

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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.