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Finding the Fourth Proportional to 23,198.40, 32,076 and 20,246.04

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Solution

The fourth proportional to 23,198.40, 32,076 and 20,246.04 is: 27,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.40 : 32,076 = 20,246.04 : x
  2. Step 2: Convert to fraction form
    23,198.40/32,076 = 20,246.04/x
  3. Step 3: Cross multiply
    23,198.40x = 32,076 × 20,246.04
  4. Step 4: Simplify right side
    23,198.40x = 649,411,979.04
  5. Step 5: Solve for x
    x = 649,411,979.04/23,198.40
  6. Step 6: Final answer
    x = 27,993.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.