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Finding the Fourth Proportional to 21,821.51, 32,728.05 and 6,022.60

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Solution

The fourth proportional to 21,821.51, 32,728.05 and 6,022.60 is: 9,032.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,821.51 : 32,728.05 = 6,022.60 : x
  2. Step 2: Convert to fraction form
    21,821.51/32,728.05 = 6,022.60/x
  3. Step 3: Cross multiply
    21,821.51x = 32,728.05 × 6,022.60
  4. Step 4: Simplify right side
    21,821.51x = 197,107,872.11
  5. Step 5: Solve for x
    x = 197,107,872.11/21,821.51
  6. Step 6: Final answer
    x = 9,032.73

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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.