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Finding the Fourth Proportional to 21,688.38, 29,930.19 and 12,735.99

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Solution

The fourth proportional to 21,688.38, 29,930.19 and 12,735.99 is: 17,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,688.38 : 29,930.19 = 12,735.99 : x
  2. Step 2: Convert to fraction form
    21,688.38/29,930.19 = 12,735.99/x
  3. Step 3: Cross multiply
    21,688.38x = 29,930.19 × 12,735.99
  4. Step 4: Simplify right side
    21,688.38x = 381,190,600.54
  5. Step 5: Solve for x
    x = 381,190,600.54/21,688.38
  6. Step 6: Final answer
    x = 17,575.80

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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.