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Finding the Fourth Proportional to 14,516.74, 20,032.39 and 8,142.54

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Solution

The fourth proportional to 14,516.74, 20,032.39 and 8,142.54 is: 11,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.74 : 20,032.39 = 8,142.54 : x
  2. Step 2: Convert to fraction form
    14,516.74/20,032.39 = 8,142.54/x
  3. Step 3: Cross multiply
    14,516.74x = 20,032.39 × 8,142.54
  4. Step 4: Simplify right side
    14,516.74x = 163,114,536.87
  5. Step 5: Solve for x
    x = 163,114,536.87/14,516.74
  6. Step 6: Final answer
    x = 11,236.31

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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.