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Finding the Fourth Proportional to 16,267.76, 22,449.64 and 8,815.76

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Solution

The fourth proportional to 16,267.76, 22,449.64 and 8,815.76 is: 12,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.76 : 22,449.64 = 8,815.76 : x
  2. Step 2: Convert to fraction form
    16,267.76/22,449.64 = 8,815.76/x
  3. Step 3: Cross multiply
    16,267.76x = 22,449.64 × 8,815.76
  4. Step 4: Simplify right side
    16,267.76x = 197,910,638.33
  5. Step 5: Solve for x
    x = 197,910,638.33/16,267.76
  6. Step 6: Final answer
    x = 12,165.82

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1.5x scale

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.