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Finding the Fourth Proportional to 28,163.86, 42,244.16 and 9,443.14

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Solution

The fourth proportional to 28,163.86, 42,244.16 and 9,443.14 is: 14,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,163.86 : 42,244.16 = 9,443.14 : x
  2. Step 2: Convert to fraction form
    28,163.86/42,244.16 = 9,443.14/x
  3. Step 3: Cross multiply
    28,163.86x = 42,244.16 × 9,443.14
  4. Step 4: Simplify right side
    28,163.86x = 398,917,517.06
  5. Step 5: Solve for x
    x = 398,917,517.06/28,163.86
  6. Step 6: Final answer
    x = 14,164.16

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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.