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Finding the Fourth Proportional to 20,855.84, 31,283.50 and 5,061

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Solution

The fourth proportional to 20,855.84, 31,283.50 and 5,061 is: 7,591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,855.84 : 31,283.50 = 5,061 : x
  2. Step 2: Convert to fraction form
    20,855.84/31,283.50 = 5,061/x
  3. Step 3: Cross multiply
    20,855.84x = 31,283.50 × 5,061
  4. Step 4: Simplify right side
    20,855.84x = 158,325,771.36
  5. Step 5: Solve for x
    x = 158,325,771.36/20,855.84
  6. Step 6: Final answer
    x = 7,591.44

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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.