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Finding the Fourth Proportional to 21,493.94, 32,236.08 and 9,028.04

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Solution

The fourth proportional to 21,493.94, 32,236.08 and 9,028.04 is: 13,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,493.94 : 32,236.08 = 9,028.04 : x
  2. Step 2: Convert to fraction form
    21,493.94/32,236.08 = 9,028.04/x
  3. Step 3: Cross multiply
    21,493.94x = 32,236.08 × 9,028.04
  4. Step 4: Simplify right side
    21,493.94x = 291,028,424.65
  5. Step 5: Solve for x
    x = 291,028,424.65/21,493.94
  6. Step 6: Final answer
    x = 13,540.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.