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Finding the Fourth Proportional to 12,073.70, 18,103.82 and 6,146.88

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Solution

The fourth proportional to 12,073.70, 18,103.82 and 6,146.88 is: 9,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.70 : 18,103.82 = 6,146.88 : x
  2. Step 2: Convert to fraction form
    12,073.70/18,103.82 = 6,146.88/x
  3. Step 3: Cross multiply
    12,073.70x = 18,103.82 × 6,146.88
  4. Step 4: Simplify right side
    12,073.70x = 111,281,978.35
  5. Step 5: Solve for x
    x = 111,281,978.35/12,073.70
  6. Step 6: Final answer
    x = 9,216.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.