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Finding the Fourth Proportional to 30,207.80, 41,686.08 and 16,778.28

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Solution

The fourth proportional to 30,207.80, 41,686.08 and 16,778.28 is: 23,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207.80 : 41,686.08 = 16,778.28 : x
  2. Step 2: Convert to fraction form
    30,207.80/41,686.08 = 16,778.28/x
  3. Step 3: Cross multiply
    30,207.80x = 41,686.08 × 16,778.28
  4. Step 4: Simplify right side
    30,207.80x = 699,420,722.34
  5. Step 5: Solve for x
    x = 699,420,722.34/30,207.80
  6. Step 6: Final answer
    x = 23,153.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.