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Finding the Fourth Proportional to 27,900.40, 41,846.55 and 8,176.90

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Solution

The fourth proportional to 27,900.40, 41,846.55 and 8,176.90 is: 12,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,900.40 : 41,846.55 = 8,176.90 : x
  2. Step 2: Convert to fraction form
    27,900.40/41,846.55 = 8,176.90/x
  3. Step 3: Cross multiply
    27,900.40x = 41,846.55 × 8,176.90
  4. Step 4: Simplify right side
    27,900.40x = 342,175,054.70
  5. Step 5: Solve for x
    x = 342,175,054.70/27,900.40
  6. Step 6: Final answer
    x = 12,264.16

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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.