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Finding the Fourth Proportional to 26,931.64, 40,382.88 and 8,206.06

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Solution

The fourth proportional to 26,931.64, 40,382.88 and 8,206.06 is: 12,304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,931.64 : 40,382.88 = 8,206.06 : x
  2. Step 2: Convert to fraction form
    26,931.64/40,382.88 = 8,206.06/x
  3. Step 3: Cross multiply
    26,931.64x = 40,382.88 × 8,206.06
  4. Step 4: Simplify right side
    26,931.64x = 331,384,336.25
  5. Step 5: Solve for x
    x = 331,384,336.25/26,931.64
  6. Step 6: Final answer
    x = 12,304.65

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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.