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Finding the Fourth Proportional to 20,563.20, 30,840.18 and 9,459.21

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Solution

The fourth proportional to 20,563.20, 30,840.18 and 9,459.21 is: 14,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.20 : 30,840.18 = 9,459.21 : x
  2. Step 2: Convert to fraction form
    20,563.20/30,840.18 = 9,459.21/x
  3. Step 3: Cross multiply
    20,563.20x = 30,840.18 × 9,459.21
  4. Step 4: Simplify right side
    20,563.20x = 291,723,739.06
  5. Step 5: Solve for x
    x = 291,723,739.06/20,563.20
  6. Step 6: Final answer
    x = 14,186.69

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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.