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Finding the Fourth Proportional to 28,197.38, 42,289.13 and 12,406.37

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Solution

The fourth proportional to 28,197.38, 42,289.13 and 12,406.37 is: 18,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,197.38 : 42,289.13 = 12,406.37 : x
  2. Step 2: Convert to fraction form
    28,197.38/42,289.13 = 12,406.37/x
  3. Step 3: Cross multiply
    28,197.38x = 42,289.13 × 12,406.37
  4. Step 4: Simplify right side
    28,197.38x = 524,654,571.91
  5. Step 5: Solve for x
    x = 524,654,571.91/28,197.38
  6. Step 6: Final answer
    x = 18,606.50

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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.