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Finding the Fourth Proportional to 30,120.78, 41,566.19 and 16,692

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Solution

The fourth proportional to 30,120.78, 41,566.19 and 16,692 is: 23,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,120.78 : 41,566.19 = 16,692 : x
  2. Step 2: Convert to fraction form
    30,120.78/41,566.19 = 16,692/x
  3. Step 3: Cross multiply
    30,120.78x = 41,566.19 × 16,692
  4. Step 4: Simplify right side
    30,120.78x = 693,822,843.48
  5. Step 5: Solve for x
    x = 693,822,843.48/30,120.78
  6. Step 6: Final answer
    x = 23,034.69

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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.