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Finding the Fourth Proportional to 27,870.02, 41,800.68 and 8,143.28

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Solution

The fourth proportional to 27,870.02, 41,800.68 and 8,143.28 is: 12,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870.02 : 41,800.68 = 8,143.28 : x
  2. Step 2: Convert to fraction form
    27,870.02/41,800.68 = 8,143.28/x
  3. Step 3: Cross multiply
    27,870.02x = 41,800.68 × 8,143.28
  4. Step 4: Simplify right side
    27,870.02x = 340,394,641.43
  5. Step 5: Solve for x
    x = 340,394,641.43/27,870.02
  6. Step 6: Final answer
    x = 12,213.65

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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.