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Finding the Fourth Proportional to 16,274.71, 22,459.11 and 8,822.71

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Solution

The fourth proportional to 16,274.71, 22,459.11 and 8,822.71 is: 12,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.71 : 22,459.11 = 8,822.71 : x
  2. Step 2: Convert to fraction form
    16,274.71/22,459.11 = 8,822.71/x
  3. Step 3: Cross multiply
    16,274.71x = 22,459.11 × 8,822.71
  4. Step 4: Simplify right side
    16,274.71x = 198,150,214.39
  5. Step 5: Solve for x
    x = 198,150,214.39/16,274.71
  6. Step 6: Final answer
    x = 12,175.35

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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.