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Finding the Fourth Proportional to 30,206.60, 41,686.17 and 16,778.11

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Solution

The fourth proportional to 30,206.60, 41,686.17 and 16,778.11 is: 23,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206.60 : 41,686.17 = 16,778.11 : x
  2. Step 2: Convert to fraction form
    30,206.60/41,686.17 = 16,778.11/x
  3. Step 3: Cross multiply
    30,206.60x = 41,686.17 × 16,778.11
  4. Step 4: Simplify right side
    30,206.60x = 699,415,145.74
  5. Step 5: Solve for x
    x = 699,415,145.74/30,206.60
  6. Step 6: Final answer
    x = 23,154.38

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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.