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Finding the Fourth Proportional to 12,913.42, 17,826.78 and 8,662.96

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Solution

The fourth proportional to 12,913.42, 17,826.78 and 8,662.96 is: 11,959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.42 : 17,826.78 = 8,662.96 : x
  2. Step 2: Convert to fraction form
    12,913.42/17,826.78 = 8,662.96/x
  3. Step 3: Cross multiply
    12,913.42x = 17,826.78 × 8,662.96
  4. Step 4: Simplify right side
    12,913.42x = 154,432,682.07
  5. Step 5: Solve for x
    x = 154,432,682.07/12,913.42
  6. Step 6: Final answer
    x = 11,959.08

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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.