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Finding the Fourth Proportional to 20,964.88, 31,455.96 and 15,446.08

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Solution

The fourth proportional to 20,964.88, 31,455.96 and 15,446.08 is: 23,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,964.88 : 31,455.96 = 15,446.08 : x
  2. Step 2: Convert to fraction form
    20,964.88/31,455.96 = 15,446.08/x
  3. Step 3: Cross multiply
    20,964.88x = 31,455.96 × 15,446.08
  4. Step 4: Simplify right side
    20,964.88x = 485,871,274.64
  5. Step 5: Solve for x
    x = 485,871,274.64/20,964.88
  6. Step 6: Final answer
    x = 23,175.49

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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.