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Finding the Fourth Proportional to 12,594.71, 18,893.13 and 3,829.70

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Solution

The fourth proportional to 12,594.71, 18,893.13 and 3,829.70 is: 5,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.71 : 18,893.13 = 3,829.70 : x
  2. Step 2: Convert to fraction form
    12,594.71/18,893.13 = 3,829.70/x
  3. Step 3: Cross multiply
    12,594.71x = 18,893.13 × 3,829.70
  4. Step 4: Simplify right side
    12,594.71x = 72,355,052.83
  5. Step 5: Solve for x
    x = 72,355,052.83/12,594.71
  6. Step 6: Final answer
    x = 5,744.88

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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.