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Finding the Fourth Proportional to 20,717.36, 31,075.68 and 6,866

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Solution

The fourth proportional to 20,717.36, 31,075.68 and 6,866 is: 10,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,717.36 : 31,075.68 = 6,866 : x
  2. Step 2: Convert to fraction form
    20,717.36/31,075.68 = 6,866/x
  3. Step 3: Cross multiply
    20,717.36x = 31,075.68 × 6,866
  4. Step 4: Simplify right side
    20,717.36x = 213,365,618.88
  5. Step 5: Solve for x
    x = 213,365,618.88/20,717.36
  6. Step 6: Final answer
    x = 10,298.88

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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.