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Finding the Fourth Proportional to 26,931.57, 40,403.16 and 8,211.09

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Solution

The fourth proportional to 26,931.57, 40,403.16 and 8,211.09 is: 12,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,931.57 : 40,403.16 = 8,211.09 : x
  2. Step 2: Convert to fraction form
    26,931.57/40,403.16 = 8,211.09/x
  3. Step 3: Cross multiply
    26,931.57x = 40,403.16 × 8,211.09
  4. Step 4: Simplify right side
    26,931.57x = 331,753,983.04
  5. Step 5: Solve for x
    x = 331,753,983.04/26,931.57
  6. Step 6: Final answer
    x = 12,318.40

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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.