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Finding the Fourth Proportional to 21,096.56, 29,115.88 and 12,144

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Solution

The fourth proportional to 21,096.56, 29,115.88 and 12,144 is: 16,760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.56 : 29,115.88 = 12,144 : x
  2. Step 2: Convert to fraction form
    21,096.56/29,115.88 = 12,144/x
  3. Step 3: Cross multiply
    21,096.56x = 29,115.88 × 12,144
  4. Step 4: Simplify right side
    21,096.56x = 353,583,246.72
  5. Step 5: Solve for x
    x = 353,583,246.72/21,096.56
  6. Step 6: Final answer
    x = 16,760.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.