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Finding the Fourth Proportional to 21,676.82, 29,913.38 and 12,116.72

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Solution

The fourth proportional to 21,676.82, 29,913.38 and 12,116.72 is: 16,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.82 : 29,913.38 = 12,116.72 : x
  2. Step 2: Convert to fraction form
    21,676.82/29,913.38 = 12,116.72/x
  3. Step 3: Cross multiply
    21,676.82x = 29,913.38 × 12,116.72
  4. Step 4: Simplify right side
    21,676.82x = 362,452,012.17
  5. Step 5: Solve for x
    x = 362,452,012.17/21,676.82
  6. Step 6: Final answer
    x = 16,720.72

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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.