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Finding the Fourth Proportional to 12,800.30, 19,201.05 and 4,035.89

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Solution

The fourth proportional to 12,800.30, 19,201.05 and 4,035.89 is: 6,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.30 : 19,201.05 = 4,035.89 : x
  2. Step 2: Convert to fraction form
    12,800.30/19,201.05 = 4,035.89/x
  3. Step 3: Cross multiply
    12,800.30x = 19,201.05 × 4,035.89
  4. Step 4: Simplify right side
    12,800.30x = 77,493,325.68
  5. Step 5: Solve for x
    x = 77,493,325.68/12,800.30
  6. Step 6: Final answer
    x = 6,054.02

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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.