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Finding the Fourth Proportional to 14,832.02, 20,459.25 and 9,796.34

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Solution

The fourth proportional to 14,832.02, 20,459.25 and 9,796.34 is: 13,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,832.02 : 20,459.25 = 9,796.34 : x
  2. Step 2: Convert to fraction form
    14,832.02/20,459.25 = 9,796.34/x
  3. Step 3: Cross multiply
    14,832.02x = 20,459.25 × 9,796.34
  4. Step 4: Simplify right side
    14,832.02x = 200,425,769.15
  5. Step 5: Solve for x
    x = 200,425,769.15/14,832.02
  6. Step 6: Final answer
    x = 13,513.05

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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.