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Finding the Fourth Proportional to 12,997.45, 19,498.23 and 4,230.31

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Solution

The fourth proportional to 12,997.45, 19,498.23 and 4,230.31 is: 6,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.45 : 19,498.23 = 4,230.31 : x
  2. Step 2: Convert to fraction form
    12,997.45/19,498.23 = 4,230.31/x
  3. Step 3: Cross multiply
    12,997.45x = 19,498.23 × 4,230.31
  4. Step 4: Simplify right side
    12,997.45x = 82,483,557.35
  5. Step 5: Solve for x
    x = 82,483,557.35/12,997.45
  6. Step 6: Final answer
    x = 6,346.13

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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.