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Finding the Fourth Proportional to 21,825.54, 32,728.98 and 8,307.84

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Solution

The fourth proportional to 21,825.54, 32,728.98 and 8,307.84 is: 12,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825.54 : 32,728.98 = 8,307.84 : x
  2. Step 2: Convert to fraction form
    21,825.54/32,728.98 = 8,307.84/x
  3. Step 3: Cross multiply
    21,825.54x = 32,728.98 × 8,307.84
  4. Step 4: Simplify right side
    21,825.54x = 271,907,129.20
  5. Step 5: Solve for x
    x = 271,907,129.20/21,825.54
  6. Step 6: Final answer
    x = 12,458.21

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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.