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Finding the Fourth Proportional to 30,264.78, 41,760.56 and 16,836

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Solution

The fourth proportional to 30,264.78, 41,760.56 and 16,836 is: 23,230.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,264.78 : 41,760.56 = 16,836 : x
  2. Step 2: Convert to fraction form
    30,264.78/41,760.56 = 16,836/x
  3. Step 3: Cross multiply
    30,264.78x = 41,760.56 × 16,836
  4. Step 4: Simplify right side
    30,264.78x = 703,080,788.16
  5. Step 5: Solve for x
    x = 703,080,788.16/30,264.78
  6. Step 6: Final answer
    x = 23,230.99

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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.