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Finding the Fourth Proportional to 16,276.68, 22,461.48 and 8,824.68

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Solution

The fourth proportional to 16,276.68, 22,461.48 and 8,824.68 is: 12,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.68 : 22,461.48 = 8,824.68 : x
  2. Step 2: Convert to fraction form
    16,276.68/22,461.48 = 8,824.68/x
  3. Step 3: Cross multiply
    16,276.68x = 22,461.48 × 8,824.68
  4. Step 4: Simplify right side
    16,276.68x = 198,215,373.33
  5. Step 5: Solve for x
    x = 198,215,373.33/16,276.68
  6. Step 6: Final answer
    x = 12,177.87

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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.