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Finding the Fourth Proportional to 22,228.80, 30,676.32 and 12,797.76

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Solution

The fourth proportional to 22,228.80, 30,676.32 and 12,797.76 is: 17,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,228.80 : 30,676.32 = 12,797.76 : x
  2. Step 2: Convert to fraction form
    22,228.80/30,676.32 = 12,797.76/x
  3. Step 3: Cross multiply
    22,228.80x = 30,676.32 × 12,797.76
  4. Step 4: Simplify right side
    22,228.80x = 392,588,181.04
  5. Step 5: Solve for x
    x = 392,588,181.04/22,228.80
  6. Step 6: Final answer
    x = 17,661.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.