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Finding the Fourth Proportional to 16,097.10, 22,213.08 and 8,926.44

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Solution

The fourth proportional to 16,097.10, 22,213.08 and 8,926.44 is: 12,317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.10 : 22,213.08 = 8,926.44 : x
  2. Step 2: Convert to fraction form
    16,097.10/22,213.08 = 8,926.44/x
  3. Step 3: Cross multiply
    16,097.10x = 22,213.08 × 8,926.44
  4. Step 4: Simplify right side
    16,097.10x = 198,283,725.84
  5. Step 5: Solve for x
    x = 198,283,725.84/16,097.10
  6. Step 6: Final answer
    x = 12,317.98

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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.