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Finding the Fourth Proportional to 21,690.65, 32,533.09 and 6,109.49

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Solution

The fourth proportional to 21,690.65, 32,533.09 and 6,109.49 is: 9,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,690.65 : 32,533.09 = 6,109.49 : x
  2. Step 2: Convert to fraction form
    21,690.65/32,533.09 = 6,109.49/x
  3. Step 3: Cross multiply
    21,690.65x = 32,533.09 × 6,109.49
  4. Step 4: Simplify right side
    21,690.65x = 198,760,410.08
  5. Step 5: Solve for x
    x = 198,760,410.08/21,690.65
  6. Step 6: Final answer
    x = 9,163.42

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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.