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Finding the Fourth Proportional to 12,291.75, 18,438.03 and 3,057.75

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Solution

The fourth proportional to 12,291.75, 18,438.03 and 3,057.75 is: 4,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.75 : 18,438.03 = 3,057.75 : x
  2. Step 2: Convert to fraction form
    12,291.75/18,438.03 = 3,057.75/x
  3. Step 3: Cross multiply
    12,291.75x = 18,438.03 × 3,057.75
  4. Step 4: Simplify right side
    12,291.75x = 56,378,886.23
  5. Step 5: Solve for x
    x = 56,378,886.23/12,291.75
  6. Step 6: Final answer
    x = 4,586.73

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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.