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Finding the Fourth Proportional to 18,648.71, 27,966.40 and 6,166.43

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Solution

The fourth proportional to 18,648.71, 27,966.40 and 6,166.43 is: 9,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,648.71 : 27,966.40 = 6,166.43 : x
  2. Step 2: Convert to fraction form
    18,648.71/27,966.40 = 6,166.43/x
  3. Step 3: Cross multiply
    18,648.71x = 27,966.40 × 6,166.43
  4. Step 4: Simplify right side
    18,648.71x = 172,452,863.37
  5. Step 5: Solve for x
    x = 172,452,863.37/18,648.71
  6. Step 6: Final answer
    x = 9,247.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.