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Finding the Fourth Proportional to 21,768.96, 32,631.04 and 8,616

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Solution

The fourth proportional to 21,768.96, 32,631.04 and 8,616 is: 12,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,768.96 : 32,631.04 = 8,616 : x
  2. Step 2: Convert to fraction form
    21,768.96/32,631.04 = 8,616/x
  3. Step 3: Cross multiply
    21,768.96x = 32,631.04 × 8,616
  4. Step 4: Simplify right side
    21,768.96x = 281,149,040.64
  5. Step 5: Solve for x
    x = 281,149,040.64/21,768.96
  6. Step 6: Final answer
    x = 12,915.13

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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.