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Finding the Fourth Proportional to 21,686.40, 29,930.40 and 12,738.78

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Solution

The fourth proportional to 21,686.40, 29,930.40 and 12,738.78 is: 17,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,686.40 : 29,930.40 = 12,738.78 : x
  2. Step 2: Convert to fraction form
    21,686.40/29,930.40 = 12,738.78/x
  3. Step 3: Cross multiply
    21,686.40x = 29,930.40 × 12,738.78
  4. Step 4: Simplify right side
    21,686.40x = 381,276,780.91
  5. Step 5: Solve for x
    x = 381,276,780.91/21,686.40
  6. Step 6: Final answer
    x = 17,581.38

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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.