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Finding the Fourth Proportional to 21,676.38, 29,916.58 and 12,728.78

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Solution

The fourth proportional to 21,676.38, 29,916.58 and 12,728.78 is: 17,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.38 : 29,916.58 = 12,728.78 : x
  2. Step 2: Convert to fraction form
    21,676.38/29,916.58 = 12,728.78/x
  3. Step 3: Cross multiply
    21,676.38x = 29,916.58 × 12,728.78
  4. Step 4: Simplify right side
    21,676.38x = 380,801,565.17
  5. Step 5: Solve for x
    x = 380,801,565.17/21,676.38
  6. Step 6: Final answer
    x = 17,567.58

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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.