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Finding the Fourth Proportional to 12,096.90, 18,148.44 and 5,859.90

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Solution

The fourth proportional to 12,096.90, 18,148.44 and 5,859.90 is: 8,791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.90 : 18,148.44 = 5,859.90 : x
  2. Step 2: Convert to fraction form
    12,096.90/18,148.44 = 5,859.90/x
  3. Step 3: Cross multiply
    12,096.90x = 18,148.44 × 5,859.90
  4. Step 4: Simplify right side
    12,096.90x = 106,348,043.56
  5. Step 5: Solve for x
    x = 106,348,043.56/12,096.90
  6. Step 6: Final answer
    x = 8,791.35

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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.