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Finding the Fourth Proportional to 14,791.46, 20,412.27 and 8,077.23

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Solution

The fourth proportional to 14,791.46, 20,412.27 and 8,077.23 is: 11,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,791.46 : 20,412.27 = 8,077.23 : x
  2. Step 2: Convert to fraction form
    14,791.46/20,412.27 = 8,077.23/x
  3. Step 3: Cross multiply
    14,791.46x = 20,412.27 × 8,077.23
  4. Step 4: Simplify right side
    14,791.46x = 164,874,599.61
  5. Step 5: Solve for x
    x = 164,874,599.61/14,791.46
  6. Step 6: Final answer
    x = 11,146.61

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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.