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Finding the Fourth Proportional to 26,894.55, 40,328.73 and 8,171.40

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Solution

The fourth proportional to 26,894.55, 40,328.73 and 8,171.40 is: 12,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,894.55 : 40,328.73 = 8,171.40 : x
  2. Step 2: Convert to fraction form
    26,894.55/40,328.73 = 8,171.40/x
  3. Step 3: Cross multiply
    26,894.55x = 40,328.73 × 8,171.40
  4. Step 4: Simplify right side
    26,894.55x = 329,542,184.32
  5. Step 5: Solve for x
    x = 329,542,184.32/26,894.55
  6. Step 6: Final answer
    x = 12,253.12

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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.