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Finding the Fourth Proportional to 12,026.68, 16,595.69 and 6,721.38

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Solution

The fourth proportional to 12,026.68, 16,595.69 and 6,721.38 is: 9,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.68 : 16,595.69 = 6,721.38 : x
  2. Step 2: Convert to fraction form
    12,026.68/16,595.69 = 6,721.38/x
  3. Step 3: Cross multiply
    12,026.68x = 16,595.69 × 6,721.38
  4. Step 4: Simplify right side
    12,026.68x = 111,545,905.25
  5. Step 5: Solve for x
    x = 111,545,905.25/12,026.68
  6. Step 6: Final answer
    x = 9,274.87

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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.