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Finding the Fourth Proportional to 14,450.64, 19,941.82 and 8,077.22

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Solution

The fourth proportional to 14,450.64, 19,941.82 and 8,077.22 is: 11,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,450.64 : 19,941.82 = 8,077.22 : x
  2. Step 2: Convert to fraction form
    14,450.64/19,941.82 = 8,077.22/x
  3. Step 3: Cross multiply
    14,450.64x = 19,941.82 × 8,077.22
  4. Step 4: Simplify right side
    14,450.64x = 161,074,487.00
  5. Step 5: Solve for x
    x = 161,074,487.00/14,450.64
  6. Step 6: Final answer
    x = 11,146.53

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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.