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Finding the Fourth Proportional to 19,594.64, 29,429.78 and 16,789.82

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Solution

The fourth proportional to 19,594.64, 29,429.78 and 16,789.82 is: 25,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,594.64 : 29,429.78 = 16,789.82 : x
  2. Step 2: Convert to fraction form
    19,594.64/29,429.78 = 16,789.82/x
  3. Step 3: Cross multiply
    19,594.64x = 29,429.78 × 16,789.82
  4. Step 4: Simplify right side
    19,594.64x = 494,120,477.74
  5. Step 5: Solve for x
    x = 494,120,477.74/19,594.64
  6. Step 6: Final answer
    x = 25,217.12

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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.