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Finding the Fourth Proportional to 20,967.36, 31,451.04 and 7,116

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Solution

The fourth proportional to 20,967.36, 31,451.04 and 7,116 is: 10,674

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,967.36 : 31,451.04 = 7,116 : x
  2. Step 2: Convert to fraction form
    20,967.36/31,451.04 = 7,116/x
  3. Step 3: Cross multiply
    20,967.36x = 31,451.04 × 7,116
  4. Step 4: Simplify right side
    20,967.36x = 223,805,600.64
  5. Step 5: Solve for x
    x = 223,805,600.64/20,967.36
  6. Step 6: Final answer
    x = 10,674

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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.