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Finding the Fourth Proportional to 27,228.65, 40,785.57 and 12,450

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Solution

The fourth proportional to 27,228.65, 40,785.57 and 12,450 is: 18,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,228.65 : 40,785.57 = 12,450 : x
  2. Step 2: Convert to fraction form
    27,228.65/40,785.57 = 12,450/x
  3. Step 3: Cross multiply
    27,228.65x = 40,785.57 × 12,450
  4. Step 4: Simplify right side
    27,228.65x = 507,780,284.25
  5. Step 5: Solve for x
    x = 507,780,284.25/27,228.65
  6. Step 6: Final answer
    x = 18,648.75

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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.