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Finding the Fourth Proportional to 38,514.56, 57,773.90 and 10,814.72

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Solution

The fourth proportional to 38,514.56, 57,773.90 and 10,814.72 is: 16,222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,514.56 : 57,773.90 = 10,814.72 : x
  2. Step 2: Convert to fraction form
    38,514.56/57,773.90 = 10,814.72/x
  3. Step 3: Cross multiply
    38,514.56x = 57,773.90 × 10,814.72
  4. Step 4: Simplify right side
    38,514.56x = 624,808,551.81
  5. Step 5: Solve for x
    x = 624,808,551.81/38,514.56
  6. Step 6: Final answer
    x = 16,222.66

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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.