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Finding the Fourth Proportional to 22,676.10, 34,023.84 and 12,800.58

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Solution

The fourth proportional to 22,676.10, 34,023.84 and 12,800.58 is: 19,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.10 : 34,023.84 = 12,800.58 : x
  2. Step 2: Convert to fraction form
    22,676.10/34,023.84 = 12,800.58/x
  3. Step 3: Cross multiply
    22,676.10x = 34,023.84 × 12,800.58
  4. Step 4: Simplify right side
    22,676.10x = 435,524,885.83
  5. Step 5: Solve for x
    x = 435,524,885.83/22,676.10
  6. Step 6: Final answer
    x = 19,206.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.