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Finding the Fourth Proportional to 16,274.92, 22,459.38 and 8,822.92

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Solution

The fourth proportional to 16,274.92, 22,459.38 and 8,822.92 is: 12,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.92 : 22,459.38 = 8,822.92 : x
  2. Step 2: Convert to fraction form
    16,274.92/22,459.38 = 8,822.92/x
  3. Step 3: Cross multiply
    16,274.92x = 22,459.38 × 8,822.92
  4. Step 4: Simplify right side
    16,274.92x = 198,157,312.99
  5. Step 5: Solve for x
    x = 198,157,312.99/16,274.92
  6. Step 6: Final answer
    x = 12,175.62

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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.