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Finding the Fourth Proportional to 20,996.94, 31,497.08 and 6,956.40

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Solution

The fourth proportional to 20,996.94, 31,497.08 and 6,956.40 is: 10,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996.94 : 31,497.08 = 6,956.40 : x
  2. Step 2: Convert to fraction form
    20,996.94/31,497.08 = 6,956.40/x
  3. Step 3: Cross multiply
    20,996.94x = 31,497.08 × 6,956.40
  4. Step 4: Simplify right side
    20,996.94x = 219,106,287.31
  5. Step 5: Solve for x
    x = 219,106,287.31/20,996.94
  6. Step 6: Final answer
    x = 10,435.15

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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.