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Finding the Fourth Proportional to 28,003.09, 42,012.83 and 8,282.15

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Solution

The fourth proportional to 28,003.09, 42,012.83 and 8,282.15 is: 12,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,003.09 : 42,012.83 = 8,282.15 : x
  2. Step 2: Convert to fraction form
    28,003.09/42,012.83 = 8,282.15/x
  3. Step 3: Cross multiply
    28,003.09x = 42,012.83 × 8,282.15
  4. Step 4: Simplify right side
    28,003.09x = 347,956,559.98
  5. Step 5: Solve for x
    x = 347,956,559.98/28,003.09
  6. Step 6: Final answer
    x = 12,425.65

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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.