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Finding the Fourth Proportional to 14,516.44, 21,777.90 and 4,129

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Solution

The fourth proportional to 14,516.44, 21,777.90 and 4,129 is: 6,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.44 : 21,777.90 = 4,129 : x
  2. Step 2: Convert to fraction form
    14,516.44/21,777.90 = 4,129/x
  3. Step 3: Cross multiply
    14,516.44x = 21,777.90 × 4,129
  4. Step 4: Simplify right side
    14,516.44x = 89,920,949.10
  5. Step 5: Solve for x
    x = 89,920,949.10/14,516.44
  6. Step 6: Final answer
    x = 6,194.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.