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Finding the Fourth Proportional to 21,940.76, 30,278.38 and 12,509.24

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Solution

The fourth proportional to 21,940.76, 30,278.38 and 12,509.24 is: 17,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,940.76 : 30,278.38 = 12,509.24 : x
  2. Step 2: Convert to fraction form
    21,940.76/30,278.38 = 12,509.24/x
  3. Step 3: Cross multiply
    21,940.76x = 30,278.38 × 12,509.24
  4. Step 4: Simplify right side
    21,940.76x = 378,759,522.23
  5. Step 5: Solve for x
    x = 378,759,522.23/21,940.76
  6. Step 6: Final answer
    x = 17,262.83

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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.