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Finding the Fourth Proportional to 21,676, 29,912.51 and 12,116.08

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Solution

The fourth proportional to 21,676, 29,912.51 and 12,116.08 is: 16,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676 : 29,912.51 = 12,116.08 : x
  2. Step 2: Convert to fraction form
    21,676/29,912.51 = 12,116.08/x
  3. Step 3: Cross multiply
    21,676x = 29,912.51 × 12,116.08
  4. Step 4: Simplify right side
    21,676x = 362,422,154.02
  5. Step 5: Solve for x
    x = 362,422,154.02/21,676
  6. Step 6: Final answer
    x = 16,719.97

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Why These Related Problems?

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