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Finding the Fourth Proportional to 26,938.41, 40,411.89 and 8,214.16

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Solution

The fourth proportional to 26,938.41, 40,411.89 and 8,214.16 is: 12,322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,938.41 : 40,411.89 = 8,214.16 : x
  2. Step 2: Convert to fraction form
    26,938.41/40,411.89 = 8,214.16/x
  3. Step 3: Cross multiply
    26,938.41x = 40,411.89 × 8,214.16
  4. Step 4: Simplify right side
    26,938.41x = 331,949,730.36
  5. Step 5: Solve for x
    x = 331,949,730.36/26,938.41
  6. Step 6: Final answer
    x = 12,322.54

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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.