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Finding the Fourth Proportional to 16,049.80, 22,148.26 and 8,880

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Solution

The fourth proportional to 16,049.80, 22,148.26 and 8,880 is: 12,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.80 : 22,148.26 = 8,880 : x
  2. Step 2: Convert to fraction form
    16,049.80/22,148.26 = 8,880/x
  3. Step 3: Cross multiply
    16,049.80x = 22,148.26 × 8,880
  4. Step 4: Simplify right side
    16,049.80x = 196,676,548.80
  5. Step 5: Solve for x
    x = 196,676,548.80/16,049.80
  6. Step 6: Final answer
    x = 12,254.14

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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.