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Finding the Fourth Proportional to 19,544.52, 29,320.38 and 6,397.62

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Solution

The fourth proportional to 19,544.52, 29,320.38 and 6,397.62 is: 9,597.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,544.52 : 29,320.38 = 6,397.62 : x
  2. Step 2: Convert to fraction form
    19,544.52/29,320.38 = 6,397.62/x
  3. Step 3: Cross multiply
    19,544.52x = 29,320.38 × 6,397.62
  4. Step 4: Simplify right side
    19,544.52x = 187,580,649.50
  5. Step 5: Solve for x
    x = 187,580,649.50/19,544.52
  6. Step 6: Final answer
    x = 9,597.61

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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.