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Finding the Fourth Proportional to 22,676.82, 34,015.62 and 7,886.22

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Solution

The fourth proportional to 22,676.82, 34,015.62 and 7,886.22 is: 11,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.82 : 34,015.62 = 7,886.22 : x
  2. Step 2: Convert to fraction form
    22,676.82/34,015.62 = 7,886.22/x
  3. Step 3: Cross multiply
    22,676.82x = 34,015.62 × 7,886.22
  4. Step 4: Simplify right side
    22,676.82x = 268,254,662.76
  5. Step 5: Solve for x
    x = 268,254,662.76/22,676.82
  6. Step 6: Final answer
    x = 11,829.47

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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.