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Finding the Fourth Proportional to 20,296.32, 30,415.04 and 9,896.32

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Solution

The fourth proportional to 20,296.32, 30,415.04 and 9,896.32 is: 14,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296.32 : 30,415.04 = 9,896.32 : x
  2. Step 2: Convert to fraction form
    20,296.32/30,415.04 = 9,896.32/x
  3. Step 3: Cross multiply
    20,296.32x = 30,415.04 × 9,896.32
  4. Step 4: Simplify right side
    20,296.32x = 300,996,968.65
  5. Step 5: Solve for x
    x = 300,996,968.65/20,296.32
  6. Step 6: Final answer
    x = 14,830.13

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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.