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Finding the Fourth Proportional to 16,299.12, 22,492.80 and 8,847.12

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Solution

The fourth proportional to 16,299.12, 22,492.80 and 8,847.12 is: 12,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.12 : 22,492.80 = 8,847.12 : x
  2. Step 2: Convert to fraction form
    16,299.12/22,492.80 = 8,847.12/x
  3. Step 3: Cross multiply
    16,299.12x = 22,492.80 × 8,847.12
  4. Step 4: Simplify right side
    16,299.12x = 198,996,500.74
  5. Step 5: Solve for x
    x = 198,996,500.74/16,299.12
  6. Step 6: Final answer
    x = 12,209.03

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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.