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Finding the Fourth Proportional to 21,541.89, 32,321.07 and 8,403.42

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Solution

The fourth proportional to 21,541.89, 32,321.07 and 8,403.42 is: 12,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,541.89 : 32,321.07 = 8,403.42 : x
  2. Step 2: Convert to fraction form
    21,541.89/32,321.07 = 8,403.42/x
  3. Step 3: Cross multiply
    21,541.89x = 32,321.07 × 8,403.42
  4. Step 4: Simplify right side
    21,541.89x = 271,607,526.06
  5. Step 5: Solve for x
    x = 271,607,526.06/21,541.89
  6. Step 6: Final answer
    x = 12,608.34

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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.