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Finding the Fourth Proportional to 19,573.24, 29,358.84 and 6,423.88

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Solution

The fourth proportional to 19,573.24, 29,358.84 and 6,423.88 is: 9,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,573.24 : 29,358.84 = 6,423.88 : x
  2. Step 2: Convert to fraction form
    19,573.24/29,358.84 = 6,423.88/x
  3. Step 3: Cross multiply
    19,573.24x = 29,358.84 × 6,423.88
  4. Step 4: Simplify right side
    19,573.24x = 188,597,665.10
  5. Step 5: Solve for x
    x = 188,597,665.10/19,573.24
  6. Step 6: Final answer
    x = 9,635.49

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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.