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Finding the Fourth Proportional to 16,014.96, 22,099.92 and 8,940

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Solution

The fourth proportional to 16,014.96, 22,099.92 and 8,940 is: 12,336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.96 : 22,099.92 = 8,940 : x
  2. Step 2: Convert to fraction form
    16,014.96/22,099.92 = 8,940/x
  3. Step 3: Cross multiply
    16,014.96x = 22,099.92 × 8,940
  4. Step 4: Simplify right side
    16,014.96x = 197,573,284.80
  5. Step 5: Solve for x
    x = 197,573,284.80/16,014.96
  6. Step 6: Final answer
    x = 12,336.80

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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.