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Finding the Fourth Proportional to 24,917.20, 34,313.16 and 20,165.20

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Solution

The fourth proportional to 24,917.20, 34,313.16 and 20,165.20 is: 27,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,917.20 : 34,313.16 = 20,165.20 : x
  2. Step 2: Convert to fraction form
    24,917.20/34,313.16 = 20,165.20/x
  3. Step 3: Cross multiply
    24,917.20x = 34,313.16 × 20,165.20
  4. Step 4: Simplify right side
    24,917.20x = 691,931,734.03
  5. Step 5: Solve for x
    x = 691,931,734.03/24,917.20
  6. Step 6: Final answer
    x = 27,769.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.