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Finding the Fourth Proportional to 20,494.14, 28,284.03 and 12,541.65

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Solution

The fourth proportional to 20,494.14, 28,284.03 and 12,541.65 is: 17,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.14 : 28,284.03 = 12,541.65 : x
  2. Step 2: Convert to fraction form
    20,494.14/28,284.03 = 12,541.65/x
  3. Step 3: Cross multiply
    20,494.14x = 28,284.03 × 12,541.65
  4. Step 4: Simplify right side
    20,494.14x = 354,728,404.85
  5. Step 5: Solve for x
    x = 354,728,404.85/20,494.14
  6. Step 6: Final answer
    x = 17,308.77

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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.