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Finding the Fourth Proportional to 28,131.30, 42,202.42 and 8,409.42

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Solution

The fourth proportional to 28,131.30, 42,202.42 and 8,409.42 is: 12,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,131.30 : 42,202.42 = 8,409.42 : x
  2. Step 2: Convert to fraction form
    28,131.30/42,202.42 = 8,409.42/x
  3. Step 3: Cross multiply
    28,131.30x = 42,202.42 × 8,409.42
  4. Step 4: Simplify right side
    28,131.30x = 354,897,853.77
  5. Step 5: Solve for x
    x = 354,897,853.77/28,131.30
  6. Step 6: Final answer
    x = 12,615.76

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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.