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Finding the Fourth Proportional to 20,713.50, 31,075.11 and 6,862.50

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Solution

The fourth proportional to 20,713.50, 31,075.11 and 6,862.50 is: 10,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.50 : 31,075.11 = 6,862.50 : x
  2. Step 2: Convert to fraction form
    20,713.50/31,075.11 = 6,862.50/x
  3. Step 3: Cross multiply
    20,713.50x = 31,075.11 × 6,862.50
  4. Step 4: Simplify right side
    20,713.50x = 213,252,942.38
  5. Step 5: Solve for x
    x = 213,252,942.38/20,713.50
  6. Step 6: Final answer
    x = 10,295.36

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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.