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Finding the Fourth Proportional to 38,497.28, 57,711.36 and 13,856

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Solution

The fourth proportional to 38,497.28, 57,711.36 and 13,856 is: 20,771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.28 : 57,711.36 = 13,856 : x
  2. Step 2: Convert to fraction form
    38,497.28/57,711.36 = 13,856/x
  3. Step 3: Cross multiply
    38,497.28x = 57,711.36 × 13,856
  4. Step 4: Simplify right side
    38,497.28x = 799,648,604.16
  5. Step 5: Solve for x
    x = 799,648,604.16/38,497.28
  6. Step 6: Final answer
    x = 20,771.56

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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.