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Finding the Fourth Proportional to 20,996.08, 31,497.36 and 7,144

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Solution

The fourth proportional to 20,996.08, 31,497.36 and 7,144 is: 10,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996.08 : 31,497.36 = 7,144 : x
  2. Step 2: Convert to fraction form
    20,996.08/31,497.36 = 7,144/x
  3. Step 3: Cross multiply
    20,996.08x = 31,497.36 × 7,144
  4. Step 4: Simplify right side
    20,996.08x = 225,017,139.84
  5. Step 5: Solve for x
    x = 225,017,139.84/20,996.08
  6. Step 6: Final answer
    x = 10,717.10

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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.