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Finding the Fourth Proportional to 28,143.83, 42,194.67 and 9,412.98

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Solution

The fourth proportional to 28,143.83, 42,194.67 and 9,412.98 is: 14,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,143.83 : 42,194.67 = 9,412.98 : x
  2. Step 2: Convert to fraction form
    28,143.83/42,194.67 = 9,412.98/x
  3. Step 3: Cross multiply
    28,143.83x = 42,194.67 × 9,412.98
  4. Step 4: Simplify right side
    28,143.83x = 397,177,584.82
  5. Step 5: Solve for x
    x = 397,177,584.82/28,143.83
  6. Step 6: Final answer
    x = 14,112.42

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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.