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Finding the Fourth Proportional to 28,783.12, 43,180 and 11,251.84

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Solution

The fourth proportional to 28,783.12, 43,180 and 11,251.84 is: 16,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,783.12 : 43,180 = 11,251.84 : x
  2. Step 2: Convert to fraction form
    28,783.12/43,180 = 11,251.84/x
  3. Step 3: Cross multiply
    28,783.12x = 43,180 × 11,251.84
  4. Step 4: Simplify right side
    28,783.12x = 485,854,451.20
  5. Step 5: Solve for x
    x = 485,854,451.20/28,783.12
  6. Step 6: Final answer
    x = 16,879.84

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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.