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Finding the Fourth Proportional to 27,138.90, 40,693.77 and 8,410.89

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Solution

The fourth proportional to 27,138.90, 40,693.77 and 8,410.89 is: 12,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,138.90 : 40,693.77 = 8,410.89 : x
  2. Step 2: Convert to fraction form
    27,138.90/40,693.77 = 8,410.89/x
  3. Step 3: Cross multiply
    27,138.90x = 40,693.77 × 8,410.89
  4. Step 4: Simplify right side
    27,138.90x = 342,270,823.16
  5. Step 5: Solve for x
    x = 342,270,823.16/27,138.90
  6. Step 6: Final answer
    x = 12,611.82

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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.