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Finding the Fourth Proportional to 19,694.56, 29,541.76 and 8,007.68

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Solution

The fourth proportional to 19,694.56, 29,541.76 and 8,007.68 is: 12,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.56 : 29,541.76 = 8,007.68 : x
  2. Step 2: Convert to fraction form
    19,694.56/29,541.76 = 8,007.68/x
  3. Step 3: Cross multiply
    19,694.56x = 29,541.76 × 8,007.68
  4. Step 4: Simplify right side
    19,694.56x = 236,560,960.72
  5. Step 5: Solve for x
    x = 236,560,960.72/19,694.56
  6. Step 6: Final answer
    x = 12,011.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.