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Finding the Fourth Proportional to 19,694.76, 29,532.27 and 6,542.52

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Solution

The fourth proportional to 19,694.76, 29,532.27 and 6,542.52 is: 9,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.76 : 29,532.27 = 6,542.52 : x
  2. Step 2: Convert to fraction form
    19,694.76/29,532.27 = 6,542.52/x
  3. Step 3: Cross multiply
    19,694.76x = 29,532.27 × 6,542.52
  4. Step 4: Simplify right side
    19,694.76x = 193,215,467.12
  5. Step 5: Solve for x
    x = 193,215,467.12/19,694.76
  6. Step 6: Final answer
    x = 9,810.50

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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.