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Finding the Fourth Proportional to 14,450.71, 19,941.72 and 8,077.43

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Solution

The fourth proportional to 14,450.71, 19,941.72 and 8,077.43 is: 11,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,450.71 : 19,941.72 = 8,077.43 : x
  2. Step 2: Convert to fraction form
    14,450.71/19,941.72 = 8,077.43/x
  3. Step 3: Cross multiply
    14,450.71x = 19,941.72 × 8,077.43
  4. Step 4: Simplify right side
    14,450.71x = 161,077,847.38
  5. Step 5: Solve for x
    x = 161,077,847.38/14,450.71
  6. Step 6: Final answer
    x = 11,146.71

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Why These Related Problems?

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