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Finding the Fourth Proportional to 28,190.70, 42,290.10 and 9,471.60

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Solution

The fourth proportional to 28,190.70, 42,290.10 and 9,471.60 is: 14,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,190.70 : 42,290.10 = 9,471.60 : x
  2. Step 2: Convert to fraction form
    28,190.70/42,290.10 = 9,471.60/x
  3. Step 3: Cross multiply
    28,190.70x = 42,290.10 × 9,471.60
  4. Step 4: Simplify right side
    28,190.70x = 400,554,911.16
  5. Step 5: Solve for x
    x = 400,554,911.16/28,190.70
  6. Step 6: Final answer
    x = 14,208.76

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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.