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Finding the Fourth Proportional to 21,142.98, 31,692.60 and 9,464.40

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Solution

The fourth proportional to 21,142.98, 31,692.60 and 9,464.40 is: 14,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.98 : 31,692.60 = 9,464.40 : x
  2. Step 2: Convert to fraction form
    21,142.98/31,692.60 = 9,464.40/x
  3. Step 3: Cross multiply
    21,142.98x = 31,692.60 × 9,464.40
  4. Step 4: Simplify right side
    21,142.98x = 299,951,443.44
  5. Step 5: Solve for x
    x = 299,951,443.44/21,142.98
  6. Step 6: Final answer
    x = 14,186.81

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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.