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Finding the Fourth Proportional to 23,217.63, 34,826.40 and 8,426.49

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Solution

The fourth proportional to 23,217.63, 34,826.40 and 8,426.49 is: 12,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217.63 : 34,826.40 = 8,426.49 : x
  2. Step 2: Convert to fraction form
    23,217.63/34,826.40 = 8,426.49/x
  3. Step 3: Cross multiply
    23,217.63x = 34,826.40 × 8,426.49
  4. Step 4: Simplify right side
    23,217.63x = 293,464,311.34
  5. Step 5: Solve for x
    x = 293,464,311.34/23,217.63
  6. Step 6: Final answer
    x = 12,639.72

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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.