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Finding the Fourth Proportional to 20,393.38, 30,586.42 and 12,975.81

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Solution

The fourth proportional to 20,393.38, 30,586.42 and 12,975.81 is: 19,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,393.38 : 30,586.42 = 12,975.81 : x
  2. Step 2: Convert to fraction form
    20,393.38/30,586.42 = 12,975.81/x
  3. Step 3: Cross multiply
    20,393.38x = 30,586.42 × 12,975.81
  4. Step 4: Simplify right side
    20,393.38x = 396,883,574.50
  5. Step 5: Solve for x
    x = 396,883,574.50/20,393.38
  6. Step 6: Final answer
    x = 19,461.39

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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.