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Finding the Fourth Proportional to 12,800.34, 19,200.60 and 3,915.86

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Solution

The fourth proportional to 12,800.34, 19,200.60 and 3,915.86 is: 5,873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.34 : 19,200.60 = 3,915.86 : x
  2. Step 2: Convert to fraction form
    12,800.34/19,200.60 = 3,915.86/x
  3. Step 3: Cross multiply
    12,800.34x = 19,200.60 × 3,915.86
  4. Step 4: Simplify right side
    12,800.34x = 75,186,765.51
  5. Step 5: Solve for x
    x = 75,186,765.51/12,800.34
  6. Step 6: Final answer
    x = 5,873.81

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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.