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Finding the Fourth Proportional to 21,175.50, 31,751.85 and 7,130.85

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Solution

The fourth proportional to 21,175.50, 31,751.85 and 7,130.85 is: 10,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.50 : 31,751.85 = 7,130.85 : x
  2. Step 2: Convert to fraction form
    21,175.50/31,751.85 = 7,130.85/x
  3. Step 3: Cross multiply
    21,175.50x = 31,751.85 × 7,130.85
  4. Step 4: Simplify right side
    21,175.50x = 226,417,679.57
  5. Step 5: Solve for x
    x = 226,417,679.57/21,175.50
  6. Step 6: Final answer
    x = 10,692.44

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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.