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Finding the Fourth Proportional to 16,217.60, 22,378.94 and 9,145.76

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Solution

The fourth proportional to 16,217.60, 22,378.94 and 9,145.76 is: 12,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.60 : 22,378.94 = 9,145.76 : x
  2. Step 2: Convert to fraction form
    16,217.60/22,378.94 = 9,145.76/x
  3. Step 3: Cross multiply
    16,217.60x = 22,378.94 × 9,145.76
  4. Step 4: Simplify right side
    16,217.60x = 204,672,414.29
  5. Step 5: Solve for x
    x = 204,672,414.29/16,217.60
  6. Step 6: Final answer
    x = 12,620.39

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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.