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Finding the Fourth Proportional to 19,670.80, 27,164.96 and 16,821.68

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Solution

The fourth proportional to 19,670.80, 27,164.96 and 16,821.68 is: 23,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.80 : 27,164.96 = 16,821.68 : x
  2. Step 2: Convert to fraction form
    19,670.80/27,164.96 = 16,821.68/x
  3. Step 3: Cross multiply
    19,670.80x = 27,164.96 × 16,821.68
  4. Step 4: Simplify right side
    19,670.80x = 456,960,264.33
  5. Step 5: Solve for x
    x = 456,960,264.33/19,670.80
  6. Step 6: Final answer
    x = 23,230.39

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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.