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Finding the Fourth Proportional to 38,516.10, 57,774.15 and 10,814.10

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Solution

The fourth proportional to 38,516.10, 57,774.15 and 10,814.10 is: 16,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,516.10 : 57,774.15 = 10,814.10 : x
  2. Step 2: Convert to fraction form
    38,516.10/57,774.15 = 10,814.10/x
  3. Step 3: Cross multiply
    38,516.10x = 57,774.15 × 10,814.10
  4. Step 4: Simplify right side
    38,516.10x = 624,775,435.52
  5. Step 5: Solve for x
    x = 624,775,435.52/38,516.10
  6. Step 6: Final answer
    x = 16,221.15

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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.