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Finding the Fourth Proportional to 28,158.12, 42,231.06 and 8,431.38

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Solution

The fourth proportional to 28,158.12, 42,231.06 and 8,431.38 is: 12,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,158.12 : 42,231.06 = 8,431.38 : x
  2. Step 2: Convert to fraction form
    28,158.12/42,231.06 = 8,431.38/x
  3. Step 3: Cross multiply
    28,158.12x = 42,231.06 × 8,431.38
  4. Step 4: Simplify right side
    28,158.12x = 356,066,114.66
  5. Step 5: Solve for x
    x = 356,066,114.66/28,158.12
  6. Step 6: Final answer
    x = 12,645.24

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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.