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Finding the Fourth Proportional to 21,165.38, 31,747.80 and 7,128.50

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Solution

The fourth proportional to 21,165.38, 31,747.80 and 7,128.50 is: 10,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165.38 : 31,747.80 = 7,128.50 : x
  2. Step 2: Convert to fraction form
    21,165.38/31,747.80 = 7,128.50/x
  3. Step 3: Cross multiply
    21,165.38x = 31,747.80 × 7,128.50
  4. Step 4: Simplify right side
    21,165.38x = 226,314,192.30
  5. Step 5: Solve for x
    x = 226,314,192.30/21,165.38
  6. Step 6: Final answer
    x = 10,692.66

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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.