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Finding the Fourth Proportional to 38,516.25, 57,777.66 and 10,814.25

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Solution

The fourth proportional to 38,516.25, 57,777.66 and 10,814.25 is: 16,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,516.25 : 57,777.66 = 10,814.25 : x
  2. Step 2: Convert to fraction form
    38,516.25/57,777.66 = 10,814.25/x
  3. Step 3: Cross multiply
    38,516.25x = 57,777.66 × 10,814.25
  4. Step 4: Simplify right side
    38,516.25x = 624,822,059.66
  5. Step 5: Solve for x
    x = 624,822,059.66/38,516.25
  6. Step 6: Final answer
    x = 16,222.30

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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.