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Finding the Fourth Proportional to 19,451.20, 29,143.20 and 9,041.60

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Solution

The fourth proportional to 19,451.20, 29,143.20 and 9,041.60 is: 13,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,451.20 : 29,143.20 = 9,041.60 : x
  2. Step 2: Convert to fraction form
    19,451.20/29,143.20 = 9,041.60/x
  3. Step 3: Cross multiply
    19,451.20x = 29,143.20 × 9,041.60
  4. Step 4: Simplify right side
    19,451.20x = 263,501,157.12
  5. Step 5: Solve for x
    x = 263,501,157.12/19,451.20
  6. Step 6: Final answer
    x = 13,546.78

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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.