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Finding the Fourth Proportional to 16,298.38, 22,492.12 and 9,224.80

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Solution

The fourth proportional to 16,298.38, 22,492.12 and 9,224.80 is: 12,730.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.38 : 22,492.12 = 9,224.80 : x
  2. Step 2: Convert to fraction form
    16,298.38/22,492.12 = 9,224.80/x
  3. Step 3: Cross multiply
    16,298.38x = 22,492.12 × 9,224.80
  4. Step 4: Simplify right side
    16,298.38x = 207,485,308.58
  5. Step 5: Solve for x
    x = 207,485,308.58/16,298.38
  6. Step 6: Final answer
    x = 12,730.43

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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.