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Finding the Fourth Proportional to 20,785.82, 28,678.19 and 12,288.65

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Solution

The fourth proportional to 20,785.82, 28,678.19 and 12,288.65 is: 16,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,785.82 : 28,678.19 = 12,288.65 : x
  2. Step 2: Convert to fraction form
    20,785.82/28,678.19 = 12,288.65/x
  3. Step 3: Cross multiply
    20,785.82x = 28,678.19 × 12,288.65
  4. Step 4: Simplify right side
    20,785.82x = 352,416,034.71
  5. Step 5: Solve for x
    x = 352,416,034.71/20,785.82
  6. Step 6: Final answer
    x = 16,954.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.