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Finding the Fourth Proportional to 20,696.32, 31,052.04 and 12,911.68

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Solution

The fourth proportional to 20,696.32, 31,052.04 and 12,911.68 is: 19,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696.32 : 31,052.04 = 12,911.68 : x
  2. Step 2: Convert to fraction form
    20,696.32/31,052.04 = 12,911.68/x
  3. Step 3: Cross multiply
    20,696.32x = 31,052.04 × 12,911.68
  4. Step 4: Simplify right side
    20,696.32x = 400,934,003.83
  5. Step 5: Solve for x
    x = 400,934,003.83/20,696.32
  6. Step 6: Final answer
    x = 19,372.24

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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.